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Finding the Third Proportional to 54,301.50 and 71,401.50

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Solution

The third proportional to 54,301.50 and 71,401.50 is: 93,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,301.50 : 71,401.50 = 71,401.50 : x
  2. Step 2: Convert to fraction form
    54,301.50/71,401.50 = 71,401.50/x
  3. Step 3: Cross multiply
    54,301.50x = 71,401.50 × 71,401.50
  4. Step 4: Simplify right side
    54,301.50x = 5,098,174,202.25
  5. Step 5: Solve for x
    x = 5,098,174,202.25/54,301.50
  6. Step 6: Final answer
    x = 93,886.43

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.