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Finding the Third Proportional to 127,324.97 and 269,827.88

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Solution

The third proportional to 127,324.97 and 269,827.88 is: 571,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,324.97 : 269,827.88 = 269,827.88 : x
  2. Step 2: Convert to fraction form
    127,324.97/269,827.88 = 269,827.88/x
  3. Step 3: Cross multiply
    127,324.97x = 269,827.88 × 269,827.88
  4. Step 4: Simplify right side
    127,324.97x = 72,807,082,127.02
  5. Step 5: Solve for x
    x = 72,807,082,127.02/127,324.97
  6. Step 6: Final answer
    x = 571,820.93

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