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Finding the Third Proportional to 62,538 and 93,699

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Solution

The third proportional to 62,538 and 93,699 is: 140,386.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,538 : 93,699 = 93,699 : x
  2. Step 2: Convert to fraction form
    62,538/93,699 = 93,699/x
  3. Step 3: Cross multiply
    62,538x = 93,699 × 93,699
  4. Step 4: Simplify right side
    62,538x = 8,779,502,601
  5. Step 5: Solve for x
    x = 8,779,502,601/62,538
  6. Step 6: Final answer
    x = 140,386.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.