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Finding the Third Proportional to 127,715 and 277,536

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Solution

The third proportional to 127,715 and 277,536 is: 603,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,715 : 277,536 = 277,536 : x
  2. Step 2: Convert to fraction form
    127,715/277,536 = 277,536/x
  3. Step 3: Cross multiply
    127,715x = 277,536 × 277,536
  4. Step 4: Simplify right side
    127,715x = 77,026,231,296
  5. Step 5: Solve for x
    x = 77,026,231,296/127,715
  6. Step 6: Final answer
    x = 603,110.29

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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.