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Finding the Third Proportional to 85,761 and 132,529.50

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Solution

The third proportional to 85,761 and 132,529.50 is: 204,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,761 : 132,529.50 = 132,529.50 : x
  2. Step 2: Convert to fraction form
    85,761/132,529.50 = 132,529.50/x
  3. Step 3: Cross multiply
    85,761x = 132,529.50 × 132,529.50
  4. Step 4: Simplify right side
    85,761x = 17,564,068,370.25
  5. Step 5: Solve for x
    x = 17,564,068,370.25/85,761
  6. Step 6: Final answer
    x = 204,802.51

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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.