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Finding the Third Proportional to 60,772 and 127,686

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Solution

The third proportional to 60,772 and 127,686 is: 268,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,772 : 127,686 = 127,686 : x
  2. Step 2: Convert to fraction form
    60,772/127,686 = 127,686/x
  3. Step 3: Cross multiply
    60,772x = 127,686 × 127,686
  4. Step 4: Simplify right side
    60,772x = 16,303,714,596
  5. Step 5: Solve for x
    x = 16,303,714,596/60,772
  6. Step 6: Final answer
    x = 268,276.75

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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.