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Finding the Third Proportional to 118,938.38 and 161,453.25

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Solution

The third proportional to 118,938.38 and 161,453.25 is: 219,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,938.38 : 161,453.25 = 161,453.25 : x
  2. Step 2: Convert to fraction form
    118,938.38/161,453.25 = 161,453.25/x
  3. Step 3: Cross multiply
    118,938.38x = 161,453.25 × 161,453.25
  4. Step 4: Simplify right side
    118,938.38x = 26,067,151,935.56
  5. Step 5: Solve for x
    x = 26,067,151,935.56/118,938.38
  6. Step 6: Final answer
    x = 219,165.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.