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Finding the Third Proportional to 127,738.74 and 268,706.27

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Solution

The third proportional to 127,738.74 and 268,706.27 is: 565,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,738.74 : 268,706.27 = 268,706.27 : x
  2. Step 2: Convert to fraction form
    127,738.74/268,706.27 = 268,706.27/x
  3. Step 3: Cross multiply
    127,738.74x = 268,706.27 × 268,706.27
  4. Step 4: Simplify right side
    127,738.74x = 72,203,058,235.76
  5. Step 5: Solve for x
    x = 72,203,058,235.76/127,738.74
  6. Step 6: Final answer
    x = 565,240.10

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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.