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Finding the Third Proportional to 74,859.75 and 115,387.31

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Solution

The third proportional to 74,859.75 and 115,387.31 is: 177,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,859.75 : 115,387.31 = 115,387.31 : x
  2. Step 2: Convert to fraction form
    74,859.75/115,387.31 = 115,387.31/x
  3. Step 3: Cross multiply
    74,859.75x = 115,387.31 × 115,387.31
  4. Step 4: Simplify right side
    74,859.75x = 13,314,231,885.97
  5. Step 5: Solve for x
    x = 13,314,231,885.97/74,859.75
  6. Step 6: Final answer
    x = 177,855.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.