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Finding the Third Proportional to 67,938.75 and 112,286.25

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Solution

The third proportional to 67,938.75 and 112,286.25 is: 185,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,938.75 : 112,286.25 = 112,286.25 : x
  2. Step 2: Convert to fraction form
    67,938.75/112,286.25 = 112,286.25/x
  3. Step 3: Cross multiply
    67,938.75x = 112,286.25 × 112,286.25
  4. Step 4: Simplify right side
    67,938.75x = 12,608,201,939.06
  5. Step 5: Solve for x
    x = 12,608,201,939.06/67,938.75
  6. Step 6: Final answer
    x = 185,581.89

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.