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Finding the Third Proportional to 62,422 and 93,537

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Solution

The third proportional to 62,422 and 93,537 is: 140,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,422 : 93,537 = 93,537 : x
  2. Step 2: Convert to fraction form
    62,422/93,537 = 93,537/x
  3. Step 3: Cross multiply
    62,422x = 93,537 × 93,537
  4. Step 4: Simplify right side
    62,422x = 8,749,170,369
  5. Step 5: Solve for x
    x = 8,749,170,369/62,422
  6. Step 6: Final answer
    x = 140,161.65

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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.