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Finding the Third Proportional to 127,614 and 187,896

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Solution

The third proportional to 127,614 and 187,896 is: 276,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,614 : 187,896 = 187,896 : x
  2. Step 2: Convert to fraction form
    127,614/187,896 = 187,896/x
  3. Step 3: Cross multiply
    127,614x = 187,896 × 187,896
  4. Step 4: Simplify right side
    127,614x = 35,304,906,816
  5. Step 5: Solve for x
    x = 35,304,906,816/127,614
  6. Step 6: Final answer
    x = 276,653.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.