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Finding the Third Proportional to 84,728 and 112,431

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Solution

The third proportional to 84,728 and 112,431 is: 149,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,728 : 112,431 = 112,431 : x
  2. Step 2: Convert to fraction form
    84,728/112,431 = 112,431/x
  3. Step 3: Cross multiply
    84,728x = 112,431 × 112,431
  4. Step 4: Simplify right side
    84,728x = 12,640,729,761
  5. Step 5: Solve for x
    x = 12,640,729,761/84,728
  6. Step 6: Final answer
    x = 149,191.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.