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Finding the Third Proportional to 127,761 and 268,764

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Solution

The third proportional to 127,761 and 268,764 is: 565,384.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,761 : 268,764 = 268,764 : x
  2. Step 2: Convert to fraction form
    127,761/268,764 = 268,764/x
  3. Step 3: Cross multiply
    127,761x = 268,764 × 268,764
  4. Step 4: Simplify right side
    127,761x = 72,234,087,696
  5. Step 5: Solve for x
    x = 72,234,087,696/127,761
  6. Step 6: Final answer
    x = 565,384.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.