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Finding the Third Proportional to 85,204.13 and 132,300

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Solution

The third proportional to 85,204.13 and 132,300 is: 205,427.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,204.13 : 132,300 = 132,300 : x
  2. Step 2: Convert to fraction form
    85,204.13/132,300 = 132,300/x
  3. Step 3: Cross multiply
    85,204.13x = 132,300 × 132,300
  4. Step 4: Simplify right side
    85,204.13x = 17,503,290,000
  5. Step 5: Solve for x
    x = 17,503,290,000/85,204.13
  6. Step 6: Final answer
    x = 205,427.73

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