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Finding the Third Proportional to 127,756 and 268,754

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Solution

The third proportional to 127,756 and 268,754 is: 565,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,756 : 268,754 = 268,754 : x
  2. Step 2: Convert to fraction form
    127,756/268,754 = 268,754/x
  3. Step 3: Cross multiply
    127,756x = 268,754 × 268,754
  4. Step 4: Simplify right side
    127,756x = 72,228,712,516
  5. Step 5: Solve for x
    x = 72,228,712,516/127,756
  6. Step 6: Final answer
    x = 565,364.54

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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.