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Finding the Third Proportional to 112,857.75 and 149,816.25

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Solution

The third proportional to 112,857.75 and 149,816.25 is: 198,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,857.75 : 149,816.25 = 149,816.25 : x
  2. Step 2: Convert to fraction form
    112,857.75/149,816.25 = 149,816.25/x
  3. Step 3: Cross multiply
    112,857.75x = 149,816.25 × 149,816.25
  4. Step 4: Simplify right side
    112,857.75x = 22,444,908,764.06
  5. Step 5: Solve for x
    x = 22,444,908,764.06/112,857.75
  6. Step 6: Final answer
    x = 198,877.87

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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.