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Finding the Third Proportional to 71,875.97 and 157,591.69

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Solution

The third proportional to 71,875.97 and 157,591.69 is: 345,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,875.97 : 157,591.69 = 157,591.69 : x
  2. Step 2: Convert to fraction form
    71,875.97/157,591.69 = 157,591.69/x
  3. Step 3: Cross multiply
    71,875.97x = 157,591.69 × 157,591.69
  4. Step 4: Simplify right side
    71,875.97x = 24,835,139,969.10
  5. Step 5: Solve for x
    x = 24,835,139,969.10/71,875.97
  6. Step 6: Final answer
    x = 345,527.73

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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.