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Finding the Third Proportional to 125,335.97 and 185,239.69

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Solution

The third proportional to 125,335.97 and 185,239.69 is: 273,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,335.97 : 185,239.69 = 185,239.69 : x
  2. Step 2: Convert to fraction form
    125,335.97/185,239.69 = 185,239.69/x
  3. Step 3: Cross multiply
    125,335.97x = 185,239.69 × 185,239.69
  4. Step 4: Simplify right side
    125,335.97x = 34,313,741,825.10
  5. Step 5: Solve for x
    x = 34,313,741,825.10/125,335.97
  6. Step 6: Final answer
    x = 273,774.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.