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Finding the Third Proportional to 127,821.94 and 275,266.13

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Solution

The third proportional to 127,821.94 and 275,266.13 is: 592,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,821.94 : 275,266.13 = 275,266.13 : x
  2. Step 2: Convert to fraction form
    127,821.94/275,266.13 = 275,266.13/x
  3. Step 3: Cross multiply
    127,821.94x = 275,266.13 × 275,266.13
  4. Step 4: Simplify right side
    127,821.94x = 75,771,439,572.52
  5. Step 5: Solve for x
    x = 75,771,439,572.52/127,821.94
  6. Step 6: Final answer
    x = 592,789.01

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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.