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Finding the Third Proportional to 62,408 and 84,688

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Solution

The third proportional to 62,408 and 84,688 is: 114,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,408 : 84,688 = 84,688 : x
  2. Step 2: Convert to fraction form
    62,408/84,688 = 84,688/x
  3. Step 3: Cross multiply
    62,408x = 84,688 × 84,688
  4. Step 4: Simplify right side
    62,408x = 7,172,057,344
  5. Step 5: Solve for x
    x = 7,172,057,344/62,408
  6. Step 6: Final answer
    x = 114,922.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.