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Finding the Third Proportional to 81,374 and 118,329

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Solution

The third proportional to 81,374 and 118,329 is: 172,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,374 : 118,329 = 118,329 : x
  2. Step 2: Convert to fraction form
    81,374/118,329 = 118,329/x
  3. Step 3: Cross multiply
    81,374x = 118,329 × 118,329
  4. Step 4: Simplify right side
    81,374x = 14,001,752,241
  5. Step 5: Solve for x
    x = 14,001,752,241/81,374
  6. Step 6: Final answer
    x = 172,066.66

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.