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Finding the Third Proportional to 74,517.47 and 115,125.05

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Solution

The third proportional to 74,517.47 and 115,125.05 is: 177,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,517.47 : 115,125.05 = 115,125.05 : x
  2. Step 2: Convert to fraction form
    74,517.47/115,125.05 = 115,125.05/x
  3. Step 3: Cross multiply
    74,517.47x = 115,125.05 × 115,125.05
  4. Step 4: Simplify right side
    74,517.47x = 13,253,776,417.97
  5. Step 5: Solve for x
    x = 13,253,776,417.97/74,517.47
  6. Step 6: Final answer
    x = 177,861.33

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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.