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Finding the Third Proportional to 71,771.06 and 157,147.59

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Solution

The third proportional to 71,771.06 and 157,147.59 is: 344,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,771.06 : 157,147.59 = 157,147.59 : x
  2. Step 2: Convert to fraction form
    71,771.06/157,147.59 = 157,147.59/x
  3. Step 3: Cross multiply
    71,771.06x = 157,147.59 × 157,147.59
  4. Step 4: Simplify right side
    71,771.06x = 24,695,366,221.42
  5. Step 5: Solve for x
    x = 24,695,366,221.42/71,771.06
  6. Step 6: Final answer
    x = 344,085.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.