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Finding the Third Proportional to 127,823.06 and 269,127.56

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Solution

The third proportional to 127,823.06 and 269,127.56 is: 566,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,823.06 : 269,127.56 = 269,127.56 : x
  2. Step 2: Convert to fraction form
    127,823.06/269,127.56 = 269,127.56/x
  3. Step 3: Cross multiply
    127,823.06x = 269,127.56 × 269,127.56
  4. Step 4: Simplify right side
    127,823.06x = 72,429,644,897.19
  5. Step 5: Solve for x
    x = 72,429,644,897.19/127,823.06
  6. Step 6: Final answer
    x = 566,639.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.