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Finding the Third Proportional to 85,806.75 and 132,862.50

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Solution

The third proportional to 85,806.75 and 132,862.50 is: 205,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,806.75 : 132,862.50 = 132,862.50 : x
  2. Step 2: Convert to fraction form
    85,806.75/132,862.50 = 132,862.50/x
  3. Step 3: Cross multiply
    85,806.75x = 132,862.50 × 132,862.50
  4. Step 4: Simplify right side
    85,806.75x = 17,652,443,906.25
  5. Step 5: Solve for x
    x = 17,652,443,906.25/85,806.75
  6. Step 6: Final answer
    x = 205,723.25

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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.