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Finding the Third Proportional to 74,853 and 113,055

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Solution

The third proportional to 74,853 and 113,055 is: 170,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,853 : 113,055 = 113,055 : x
  2. Step 2: Convert to fraction form
    74,853/113,055 = 113,055/x
  3. Step 3: Cross multiply
    74,853x = 113,055 × 113,055
  4. Step 4: Simplify right side
    74,853x = 12,781,433,025
  5. Step 5: Solve for x
    x = 12,781,433,025/74,853
  6. Step 6: Final answer
    x = 170,753.78

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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.