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Finding the Third Proportional to 71,738.16 and 157,114.69

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Solution

The third proportional to 71,738.16 and 157,114.69 is: 344,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,738.16 : 157,114.69 = 157,114.69 : x
  2. Step 2: Convert to fraction form
    71,738.16/157,114.69 = 157,114.69/x
  3. Step 3: Cross multiply
    71,738.16x = 157,114.69 × 157,114.69
  4. Step 4: Simplify right side
    71,738.16x = 24,685,025,028.22
  5. Step 5: Solve for x
    x = 24,685,025,028.22/71,738.16
  6. Step 6: Final answer
    x = 344,098.96

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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.