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Finding the Third Proportional to 76,482 and 112,472

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Solution

The third proportional to 76,482 and 112,472 is: 165,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,482 : 112,472 = 112,472 : x
  2. Step 2: Convert to fraction form
    76,482/112,472 = 112,472/x
  3. Step 3: Cross multiply
    76,482x = 112,472 × 112,472
  4. Step 4: Simplify right side
    76,482x = 12,649,950,784
  5. Step 5: Solve for x
    x = 12,649,950,784/76,482
  6. Step 6: Final answer
    x = 165,397.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.