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Finding the Third Proportional to 127,374.50 and 269,921

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Solution

The third proportional to 127,374.50 and 269,921 is: 571,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,374.50 : 269,921 = 269,921 : x
  2. Step 2: Convert to fraction form
    127,374.50/269,921 = 269,921/x
  3. Step 3: Cross multiply
    127,374.50x = 269,921 × 269,921
  4. Step 4: Simplify right side
    127,374.50x = 72,857,346,241
  5. Step 5: Solve for x
    x = 72,857,346,241/127,374.50
  6. Step 6: Final answer
    x = 571,993.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.