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Finding the Third Proportional to 86,418 and 116,127

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Solution

The third proportional to 86,418 and 116,127 is: 156,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,418 : 116,127 = 116,127 : x
  2. Step 2: Convert to fraction form
    86,418/116,127 = 116,127/x
  3. Step 3: Cross multiply
    86,418x = 116,127 × 116,127
  4. Step 4: Simplify right side
    86,418x = 13,485,480,129
  5. Step 5: Solve for x
    x = 13,485,480,129/86,418
  6. Step 6: Final answer
    x = 156,049.44

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.