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Finding the Third Proportional to 85,586 and 127,906

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Solution

The third proportional to 85,586 and 127,906 is: 191,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,586 : 127,906 = 127,906 : x
  2. Step 2: Convert to fraction form
    85,586/127,906 = 127,906/x
  3. Step 3: Cross multiply
    85,586x = 127,906 × 127,906
  4. Step 4: Simplify right side
    85,586x = 16,359,944,836
  5. Step 5: Solve for x
    x = 16,359,944,836/85,586
  6. Step 6: Final answer
    x = 191,152.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.