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Finding the Third Proportional to 53,884.38 and 125,854.88

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Solution

The third proportional to 53,884.38 and 125,854.88 is: 293,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,884.38 : 125,854.88 = 125,854.88 : x
  2. Step 2: Convert to fraction form
    53,884.38/125,854.88 = 125,854.88/x
  3. Step 3: Cross multiply
    53,884.38x = 125,854.88 × 125,854.88
  4. Step 4: Simplify right side
    53,884.38x = 15,839,449,561.27
  5. Step 5: Solve for x
    x = 15,839,449,561.27/53,884.38
  6. Step 6: Final answer
    x = 293,952.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.