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Finding the Third Proportional to 85,262 and 132,390

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Solution

The third proportional to 85,262 and 132,390 is: 205,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,262 : 132,390 = 132,390 : x
  2. Step 2: Convert to fraction form
    85,262/132,390 = 132,390/x
  3. Step 3: Cross multiply
    85,262x = 132,390 × 132,390
  4. Step 4: Simplify right side
    85,262x = 17,527,112,100
  5. Step 5: Solve for x
    x = 17,527,112,100/85,262
  6. Step 6: Final answer
    x = 205,567.69

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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.