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Finding the Third Proportional to 71,601.47 and 149,086.20

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Solution

The third proportional to 71,601.47 and 149,086.20 is: 310,422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,601.47 : 149,086.20 = 149,086.20 : x
  2. Step 2: Convert to fraction form
    71,601.47/149,086.20 = 149,086.20/x
  3. Step 3: Cross multiply
    71,601.47x = 149,086.20 × 149,086.20
  4. Step 4: Simplify right side
    71,601.47x = 22,226,693,632.76
  5. Step 5: Solve for x
    x = 22,226,693,632.76/71,601.47
  6. Step 6: Final answer
    x = 310,422.31

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.