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Finding the Third Proportional to 62,451 and 95,231

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Solution

The third proportional to 62,451 and 95,231 is: 145,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,451 : 95,231 = 95,231 : x
  2. Step 2: Convert to fraction form
    62,451/95,231 = 95,231/x
  3. Step 3: Cross multiply
    62,451x = 95,231 × 95,231
  4. Step 4: Simplify right side
    62,451x = 9,068,943,361
  5. Step 5: Solve for x
    x = 9,068,943,361/62,451
  6. Step 6: Final answer
    x = 145,216.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.