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Finding the Third Proportional to 82,155.75 and 132,269.63

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Solution

The third proportional to 82,155.75 and 132,269.63 is: 212,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,155.75 : 132,269.63 = 132,269.63 : x
  2. Step 2: Convert to fraction form
    82,155.75/132,269.63 = 132,269.63/x
  3. Step 3: Cross multiply
    82,155.75x = 132,269.63 × 132,269.63
  4. Step 4: Simplify right side
    82,155.75x = 17,495,253,697.64
  5. Step 5: Solve for x
    x = 17,495,253,697.64/82,155.75
  6. Step 6: Final answer
    x = 212,952.27

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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.