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Finding the Third Proportional to 127,753 and 268,748

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Solution

The third proportional to 127,753 and 268,748 is: 565,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,753 : 268,748 = 268,748 : x
  2. Step 2: Convert to fraction form
    127,753/268,748 = 268,748/x
  3. Step 3: Cross multiply
    127,753x = 268,748 × 268,748
  4. Step 4: Simplify right side
    127,753x = 72,225,487,504
  5. Step 5: Solve for x
    x = 72,225,487,504/127,753
  6. Step 6: Final answer
    x = 565,352.57

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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.