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Finding the Third Proportional to 54,674 and 89,280

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Solution

The third proportional to 54,674 and 89,280 is: 145,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,674 : 89,280 = 89,280 : x
  2. Step 2: Convert to fraction form
    54,674/89,280 = 89,280/x
  3. Step 3: Cross multiply
    54,674x = 89,280 × 89,280
  4. Step 4: Simplify right side
    54,674x = 7,970,918,400
  5. Step 5: Solve for x
    x = 7,970,918,400/54,674
  6. Step 6: Final answer
    x = 145,789.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.