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Finding the Third Proportional to 118,952.25 and 161,473.13

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Solution

The third proportional to 118,952.25 and 161,473.13 is: 219,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,952.25 : 161,473.13 = 161,473.13 : x
  2. Step 2: Convert to fraction form
    118,952.25/161,473.13 = 161,473.13/x
  3. Step 3: Cross multiply
    118,952.25x = 161,473.13 × 161,473.13
  4. Step 4: Simplify right side
    118,952.25x = 26,073,570,097.27
  5. Step 5: Solve for x
    x = 26,073,570,097.27/118,952.25
  6. Step 6: Final answer
    x = 219,193.58

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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.