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Finding the Third Proportional to 62,412 and 93,522

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Solution

The third proportional to 62,412 and 93,522 is: 140,139.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,412 : 93,522 = 93,522 : x
  2. Step 2: Convert to fraction form
    62,412/93,522 = 93,522/x
  3. Step 3: Cross multiply
    62,412x = 93,522 × 93,522
  4. Step 4: Simplify right side
    62,412x = 8,746,364,484
  5. Step 5: Solve for x
    x = 8,746,364,484/62,412
  6. Step 6: Final answer
    x = 140,139.15

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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.