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Finding the Third Proportional to 76,074 and 113,691

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Solution

The third proportional to 76,074 and 113,691 is: 169,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,074 : 113,691 = 113,691 : x
  2. Step 2: Convert to fraction form
    76,074/113,691 = 113,691/x
  3. Step 3: Cross multiply
    76,074x = 113,691 × 113,691
  4. Step 4: Simplify right side
    76,074x = 12,925,643,481
  5. Step 5: Solve for x
    x = 12,925,643,481/76,074
  6. Step 6: Final answer
    x = 169,908.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.