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Finding the Third Proportional to 76,484 and 112,474

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Solution

The third proportional to 76,484 and 112,474 is: 165,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,484 : 112,474 = 112,474 : x
  2. Step 2: Convert to fraction form
    76,484/112,474 = 112,474/x
  3. Step 3: Cross multiply
    76,484x = 112,474 × 112,474
  4. Step 4: Simplify right side
    76,484x = 12,650,400,676
  5. Step 5: Solve for x
    x = 12,650,400,676/76,484
  6. Step 6: Final answer
    x = 165,399.31

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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.