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Finding the Third Proportional to 127,020 and 271,536

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Solution

The third proportional to 127,020 and 271,536 is: 580,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,020 : 271,536 = 271,536 : x
  2. Step 2: Convert to fraction form
    127,020/271,536 = 271,536/x
  3. Step 3: Cross multiply
    127,020x = 271,536 × 271,536
  4. Step 4: Simplify right side
    127,020x = 73,731,799,296
  5. Step 5: Solve for x
    x = 73,731,799,296/127,020
  6. Step 6: Final answer
    x = 580,473.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.