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Finding the Third Proportional to 82,155.50 and 132,269

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Solution

The third proportional to 82,155.50 and 132,269 is: 212,950.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,155.50 : 132,269 = 132,269 : x
  2. Step 2: Convert to fraction form
    82,155.50/132,269 = 132,269/x
  3. Step 3: Cross multiply
    82,155.50x = 132,269 × 132,269
  4. Step 4: Simplify right side
    82,155.50x = 17,495,088,361
  5. Step 5: Solve for x
    x = 17,495,088,361/82,155.50
  6. Step 6: Final answer
    x = 212,950.91

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.