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Finding the Third Proportional to 41,370.75 and 77,532.19

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Solution

The third proportional to 41,370.75 and 77,532.19 is: 145,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,370.75 : 77,532.19 = 77,532.19 : x
  2. Step 2: Convert to fraction form
    41,370.75/77,532.19 = 77,532.19/x
  3. Step 3: Cross multiply
    41,370.75x = 77,532.19 × 77,532.19
  4. Step 4: Simplify right side
    41,370.75x = 6,011,240,098.54
  5. Step 5: Solve for x
    x = 6,011,240,098.54/41,370.75
  6. Step 6: Final answer
    x = 145,301.70

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.