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Finding the Third Proportional to 54,018 and 71,680.50

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Solution

The third proportional to 54,018 and 71,680.50 is: 95,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,018 : 71,680.50 = 71,680.50 : x
  2. Step 2: Convert to fraction form
    54,018/71,680.50 = 71,680.50/x
  3. Step 3: Cross multiply
    54,018x = 71,680.50 × 71,680.50
  4. Step 4: Simplify right side
    54,018x = 5,138,094,080.25
  5. Step 5: Solve for x
    x = 5,138,094,080.25/54,018
  6. Step 6: Final answer
    x = 95,118.18

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.