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Finding the Third Proportional to 81,578 and 119,671

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Solution

The third proportional to 81,578 and 119,671 is: 175,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,578 : 119,671 = 119,671 : x
  2. Step 2: Convert to fraction form
    81,578/119,671 = 119,671/x
  3. Step 3: Cross multiply
    81,578x = 119,671 × 119,671
  4. Step 4: Simplify right side
    81,578x = 14,321,148,241
  5. Step 5: Solve for x
    x = 14,321,148,241/81,578
  6. Step 6: Final answer
    x = 175,551.60

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