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Finding the Third Proportional to 127,016 and 187,015

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Solution

The third proportional to 127,016 and 187,015 is: 275,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,016 : 187,015 = 187,015 : x
  2. Step 2: Convert to fraction form
    127,016/187,015 = 187,015/x
  3. Step 3: Cross multiply
    127,016x = 187,015 × 187,015
  4. Step 4: Simplify right side
    127,016x = 34,974,610,225
  5. Step 5: Solve for x
    x = 34,974,610,225/127,016
  6. Step 6: Final answer
    x = 275,355.94

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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.