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Finding the Third Proportional to 53,983.97 and 86,246.02

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Solution

The third proportional to 53,983.97 and 86,246.02 is: 137,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,983.97 : 86,246.02 = 86,246.02 : x
  2. Step 2: Convert to fraction form
    53,983.97/86,246.02 = 86,246.02/x
  3. Step 3: Cross multiply
    53,983.97x = 86,246.02 × 86,246.02
  4. Step 4: Simplify right side
    53,983.97x = 7,438,375,211.19
  5. Step 5: Solve for x
    x = 7,438,375,211.19/53,983.97
  6. Step 6: Final answer
    x = 137,788.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.