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Finding the Third Proportional to 127,038 and 271,572

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Solution

The third proportional to 127,038 and 271,572 is: 580,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,038 : 271,572 = 271,572 : x
  2. Step 2: Convert to fraction form
    127,038/271,572 = 271,572/x
  3. Step 3: Cross multiply
    127,038x = 271,572 × 271,572
  4. Step 4: Simplify right side
    127,038x = 73,751,351,184
  5. Step 5: Solve for x
    x = 73,751,351,184/127,038
  6. Step 6: Final answer
    x = 580,545.59

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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.