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Finding the Third Proportional to 123,038 and 161,559

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Solution

The third proportional to 123,038 and 161,559 is: 212,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,038 : 161,559 = 161,559 : x
  2. Step 2: Convert to fraction form
    123,038/161,559 = 161,559/x
  3. Step 3: Cross multiply
    123,038x = 161,559 × 161,559
  4. Step 4: Simplify right side
    123,038x = 26,101,310,481
  5. Step 5: Solve for x
    x = 26,101,310,481/123,038
  6. Step 6: Final answer
    x = 212,140.24

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.