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Finding the Third Proportional to 54,127.88 and 84,909

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Solution

The third proportional to 54,127.88 and 84,909 is: 133,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,127.88 : 84,909 = 84,909 : x
  2. Step 2: Convert to fraction form
    54,127.88/84,909 = 84,909/x
  3. Step 3: Cross multiply
    54,127.88x = 84,909 × 84,909
  4. Step 4: Simplify right side
    54,127.88x = 7,209,538,281
  5. Step 5: Solve for x
    x = 7,209,538,281/54,127.88
  6. Step 6: Final answer
    x = 133,194.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.