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Finding the Third Proportional to 127,712 and 277,530

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Solution

The third proportional to 127,712 and 277,530 is: 603,098.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,712 : 277,530 = 277,530 : x
  2. Step 2: Convert to fraction form
    127,712/277,530 = 277,530/x
  3. Step 3: Cross multiply
    127,712x = 277,530 × 277,530
  4. Step 4: Simplify right side
    127,712x = 77,022,900,900
  5. Step 5: Solve for x
    x = 77,022,900,900/127,712
  6. Step 6: Final answer
    x = 603,098.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.