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Finding the Third Proportional to 60,617 and 127,858

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Solution

The third proportional to 60,617 and 127,858 is: 269,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,617 : 127,858 = 127,858 : x
  2. Step 2: Convert to fraction form
    60,617/127,858 = 127,858/x
  3. Step 3: Cross multiply
    60,617x = 127,858 × 127,858
  4. Step 4: Simplify right side
    60,617x = 16,347,668,164
  5. Step 5: Solve for x
    x = 16,347,668,164/60,617
  6. Step 6: Final answer
    x = 269,687.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.