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Finding the Third Proportional to 73,522 and 103,537

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Solution

The third proportional to 73,522 and 103,537 is: 145,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,522 : 103,537 = 103,537 : x
  2. Step 2: Convert to fraction form
    73,522/103,537 = 103,537/x
  3. Step 3: Cross multiply
    73,522x = 103,537 × 103,537
  4. Step 4: Simplify right side
    73,522x = 10,719,910,369
  5. Step 5: Solve for x
    x = 10,719,910,369/73,522
  6. Step 6: Final answer
    x = 145,805.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.