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Finding the Third Proportional to 85,766 and 132,537

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Solution

The third proportional to 85,766 and 132,537 is: 204,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,766 : 132,537 = 132,537 : x
  2. Step 2: Convert to fraction form
    85,766/132,537 = 132,537/x
  3. Step 3: Cross multiply
    85,766x = 132,537 × 132,537
  4. Step 4: Simplify right side
    85,766x = 17,566,056,369
  5. Step 5: Solve for x
    x = 17,566,056,369/85,766
  6. Step 6: Final answer
    x = 204,813.75

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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.