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Finding the Third Proportional to 127,151 and 271,186

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Solution

The third proportional to 127,151 and 271,186 is: 578,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,151 : 271,186 = 271,186 : x
  2. Step 2: Convert to fraction form
    127,151/271,186 = 271,186/x
  3. Step 3: Cross multiply
    127,151x = 271,186 × 271,186
  4. Step 4: Simplify right side
    127,151x = 73,541,846,596
  5. Step 5: Solve for x
    x = 73,541,846,596/127,151
  6. Step 6: Final answer
    x = 578,381.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.