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Finding the Third Proportional to 71,807.25 and 109,654.88

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Solution

The third proportional to 71,807.25 and 109,654.88 is: 167,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,807.25 : 109,654.88 = 109,654.88 : x
  2. Step 2: Convert to fraction form
    71,807.25/109,654.88 = 109,654.88/x
  3. Step 3: Cross multiply
    71,807.25x = 109,654.88 × 109,654.88
  4. Step 4: Simplify right side
    71,807.25x = 12,024,191,611.27
  5. Step 5: Solve for x
    x = 12,024,191,611.27/71,807.25
  6. Step 6: Final answer
    x = 167,450.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.