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Finding the Third Proportional to 127,747.13 and 263,692.13

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Solution

The third proportional to 127,747.13 and 263,692.13 is: 544,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,747.13 : 263,692.13 = 263,692.13 : x
  2. Step 2: Convert to fraction form
    127,747.13/263,692.13 = 263,692.13/x
  3. Step 3: Cross multiply
    127,747.13x = 263,692.13 × 263,692.13
  4. Step 4: Simplify right side
    127,747.13x = 69,533,536,787.02
  5. Step 5: Solve for x
    x = 69,533,536,787.02/127,747.13
  6. Step 6: Final answer
    x = 544,306.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.