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Finding the Third Proportional to 84,609.88 and 112,311.88

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Solution

The third proportional to 84,609.88 and 112,311.88 is: 149,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,609.88 : 112,311.88 = 112,311.88 : x
  2. Step 2: Convert to fraction form
    84,609.88/112,311.88 = 112,311.88/x
  3. Step 3: Cross multiply
    84,609.88x = 112,311.88 × 112,311.88
  4. Step 4: Simplify right side
    84,609.88x = 12,613,957,266.02
  5. Step 5: Solve for x
    x = 12,613,957,266.02/84,609.88
  6. Step 6: Final answer
    x = 149,083.75

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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.