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Finding the Third Proportional to 127,608 and 187,887

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Solution

The third proportional to 127,608 and 187,887 is: 276,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,608 : 187,887 = 187,887 : x
  2. Step 2: Convert to fraction form
    127,608/187,887 = 187,887/x
  3. Step 3: Cross multiply
    127,608x = 187,887 × 187,887
  4. Step 4: Simplify right side
    127,608x = 35,301,524,769
  5. Step 5: Solve for x
    x = 35,301,524,769/127,608
  6. Step 6: Final answer
    x = 276,640.37

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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.