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Finding the Third Proportional to 60,646 and 127,576

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Solution

The third proportional to 60,646 and 127,576 is: 268,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,646 : 127,576 = 127,576 : x
  2. Step 2: Convert to fraction form
    60,646/127,576 = 127,576/x
  3. Step 3: Cross multiply
    60,646x = 127,576 × 127,576
  4. Step 4: Simplify right side
    60,646x = 16,275,635,776
  5. Step 5: Solve for x
    x = 16,275,635,776/60,646
  6. Step 6: Final answer
    x = 268,371.13

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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.