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Finding the Third Proportional to 127,765.13 and 280,068.75

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Solution

The third proportional to 127,765.13 and 280,068.75 is: 613,927.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,765.13 : 280,068.75 = 280,068.75 : x
  2. Step 2: Convert to fraction form
    127,765.13/280,068.75 = 280,068.75/x
  3. Step 3: Cross multiply
    127,765.13x = 280,068.75 × 280,068.75
  4. Step 4: Simplify right side
    127,765.13x = 78,438,504,726.56
  5. Step 5: Solve for x
    x = 78,438,504,726.56/127,765.13
  6. Step 6: Final answer
    x = 613,927.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.