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Finding the Third Proportional to 54,209.25 and 83,427.47

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Solution

The third proportional to 54,209.25 and 83,427.47 is: 128,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,209.25 : 83,427.47 = 83,427.47 : x
  2. Step 2: Convert to fraction form
    54,209.25/83,427.47 = 83,427.47/x
  3. Step 3: Cross multiply
    54,209.25x = 83,427.47 × 83,427.47
  4. Step 4: Simplify right side
    54,209.25x = 6,960,142,542.03
  5. Step 5: Solve for x
    x = 6,960,142,542.03/54,209.25
  6. Step 6: Final answer
    x = 128,394.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.