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Finding the Third Proportional to 62,409 and 100,537

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Solution

The third proportional to 62,409 and 100,537 is: 161,958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,409 : 100,537 = 100,537 : x
  2. Step 2: Convert to fraction form
    62,409/100,537 = 100,537/x
  3. Step 3: Cross multiply
    62,409x = 100,537 × 100,537
  4. Step 4: Simplify right side
    62,409x = 10,107,688,369
  5. Step 5: Solve for x
    x = 10,107,688,369/62,409
  6. Step 6: Final answer
    x = 161,958.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.