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Finding the Third Proportional to 85,127 and 128,874

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Solution

The third proportional to 85,127 and 128,874 is: 195,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,127 : 128,874 = 128,874 : x
  2. Step 2: Convert to fraction form
    85,127/128,874 = 128,874/x
  3. Step 3: Cross multiply
    85,127x = 128,874 × 128,874
  4. Step 4: Simplify right side
    85,127x = 16,608,507,876
  5. Step 5: Solve for x
    x = 16,608,507,876/85,127
  6. Step 6: Final answer
    x = 195,102.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.