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Finding the Third Proportional to 100,781.25 and 152,475.75

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Solution

The third proportional to 100,781.25 and 152,475.75 is: 230,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,781.25 : 152,475.75 = 152,475.75 : x
  2. Step 2: Convert to fraction form
    100,781.25/152,475.75 = 152,475.75/x
  3. Step 3: Cross multiply
    100,781.25x = 152,475.75 × 152,475.75
  4. Step 4: Simplify right side
    100,781.25x = 23,248,854,338.06
  5. Step 5: Solve for x
    x = 23,248,854,338.06/100,781.25
  6. Step 6: Final answer
    x = 230,686.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.