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Finding the Third Proportional to 54,314 and 81,817.50

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Solution

The third proportional to 54,314 and 81,817.50 is: 123,248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,314 : 81,817.50 = 81,817.50 : x
  2. Step 2: Convert to fraction form
    54,314/81,817.50 = 81,817.50/x
  3. Step 3: Cross multiply
    54,314x = 81,817.50 × 81,817.50
  4. Step 4: Simplify right side
    54,314x = 6,694,103,306.25
  5. Step 5: Solve for x
    x = 6,694,103,306.25/54,314
  6. Step 6: Final answer
    x = 123,248.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.