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Finding the Third Proportional to 62,408 and 93,344

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Solution

The third proportional to 62,408 and 93,344 is: 139,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,408 : 93,344 = 93,344 : x
  2. Step 2: Convert to fraction form
    62,408/93,344 = 93,344/x
  3. Step 3: Cross multiply
    62,408x = 93,344 × 93,344
  4. Step 4: Simplify right side
    62,408x = 8,713,102,336
  5. Step 5: Solve for x
    x = 8,713,102,336/62,408
  6. Step 6: Final answer
    x = 139,615.15

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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.