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Finding the Third Proportional to 128,061.75 and 187,941

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Solution

The third proportional to 128,061.75 and 187,941 is: 275,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,061.75 : 187,941 = 187,941 : x
  2. Step 2: Convert to fraction form
    128,061.75/187,941 = 187,941/x
  3. Step 3: Cross multiply
    128,061.75x = 187,941 × 187,941
  4. Step 4: Simplify right side
    128,061.75x = 35,321,819,481
  5. Step 5: Solve for x
    x = 35,321,819,481/128,061.75
  6. Step 6: Final answer
    x = 275,818.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.