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Finding the Third Proportional to 76,687 and 118,451

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Solution

The third proportional to 76,687 and 118,451 is: 182,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,687 : 118,451 = 118,451 : x
  2. Step 2: Convert to fraction form
    76,687/118,451 = 118,451/x
  3. Step 3: Cross multiply
    76,687x = 118,451 × 118,451
  4. Step 4: Simplify right side
    76,687x = 14,030,639,401
  5. Step 5: Solve for x
    x = 14,030,639,401/76,687
  6. Step 6: Final answer
    x = 182,959.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.