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Finding the Third Proportional to 85,200.75 and 132,302.25

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Solution

The third proportional to 85,200.75 and 132,302.25 is: 205,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,200.75 : 132,302.25 = 132,302.25 : x
  2. Step 2: Convert to fraction form
    85,200.75/132,302.25 = 132,302.25/x
  3. Step 3: Cross multiply
    85,200.75x = 132,302.25 × 132,302.25
  4. Step 4: Simplify right side
    85,200.75x = 17,503,885,355.06
  5. Step 5: Solve for x
    x = 17,503,885,355.06/85,200.75
  6. Step 6: Final answer
    x = 205,442.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.