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Finding the Third Proportional to 62,314 and 93,452

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Solution

The third proportional to 62,314 and 93,452 is: 140,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,314 : 93,452 = 93,452 : x
  2. Step 2: Convert to fraction form
    62,314/93,452 = 93,452/x
  3. Step 3: Cross multiply
    62,314x = 93,452 × 93,452
  4. Step 4: Simplify right side
    62,314x = 8,733,276,304
  5. Step 5: Solve for x
    x = 8,733,276,304/62,314
  6. Step 6: Final answer
    x = 140,149.51

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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.