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Finding the Third Proportional to 112,734 and 151,857

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Solution

The third proportional to 112,734 and 151,857 is: 204,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,734 : 151,857 = 151,857 : x
  2. Step 2: Convert to fraction form
    112,734/151,857 = 151,857/x
  3. Step 3: Cross multiply
    112,734x = 151,857 × 151,857
  4. Step 4: Simplify right side
    112,734x = 23,060,548,449
  5. Step 5: Solve for x
    x = 23,060,548,449/112,734
  6. Step 6: Final answer
    x = 204,557.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.