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Finding the Third Proportional to 85,733.44 and 115,650.28

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Solution

The third proportional to 85,733.44 and 115,650.28 is: 156,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,733.44 : 115,650.28 = 115,650.28 : x
  2. Step 2: Convert to fraction form
    85,733.44/115,650.28 = 115,650.28/x
  3. Step 3: Cross multiply
    85,733.44x = 115,650.28 × 115,650.28
  4. Step 4: Simplify right side
    85,733.44x = 13,374,987,553.20
  5. Step 5: Solve for x
    x = 13,374,987,553.20/85,733.44
  6. Step 6: Final answer
    x = 156,006.66

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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.