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Finding the Third Proportional to 125,091 and 269,179.88

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Solution

The third proportional to 125,091 and 269,179.88 is: 579,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,091 : 269,179.88 = 269,179.88 : x
  2. Step 2: Convert to fraction form
    125,091/269,179.88 = 269,179.88/x
  3. Step 3: Cross multiply
    125,091x = 269,179.88 × 269,179.88
  4. Step 4: Simplify right side
    125,091x = 72,457,805,105.02
  5. Step 5: Solve for x
    x = 72,457,805,105.02/125,091
  6. Step 6: Final answer
    x = 579,240.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.