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Finding the Third Proportional to 128,386.13 and 187,824.75

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Solution

The third proportional to 128,386.13 and 187,824.75 is: 274,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,386.13 : 187,824.75 = 187,824.75 : x
  2. Step 2: Convert to fraction form
    128,386.13/187,824.75 = 187,824.75/x
  3. Step 3: Cross multiply
    128,386.13x = 187,824.75 × 187,824.75
  4. Step 4: Simplify right side
    128,386.13x = 35,278,136,712.56
  5. Step 5: Solve for x
    x = 35,278,136,712.56/128,386.13
  6. Step 6: Final answer
    x = 274,781.54

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.