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Finding the Third Proportional to 71,606.53 and 149,095.69

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Solution

The third proportional to 71,606.53 and 149,095.69 is: 310,439.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,606.53 : 149,095.69 = 149,095.69 : x
  2. Step 2: Convert to fraction form
    71,606.53/149,095.69 = 149,095.69/x
  3. Step 3: Cross multiply
    71,606.53x = 149,095.69 × 149,095.69
  4. Step 4: Simplify right side
    71,606.53x = 22,229,524,031.10
  5. Step 5: Solve for x
    x = 22,229,524,031.10/71,606.53
  6. Step 6: Final answer
    x = 310,439.89

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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.