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Finding the Third Proportional to 32,761 and 68,114

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Solution

The third proportional to 32,761 and 68,114 is: 141,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761 : 68,114 = 68,114 : x
  2. Step 2: Convert to fraction form
    32,761/68,114 = 68,114/x
  3. Step 3: Cross multiply
    32,761x = 68,114 × 68,114
  4. Step 4: Simplify right side
    32,761x = 4,639,516,996
  5. Step 5: Solve for x
    x = 4,639,516,996/32,761
  6. Step 6: Final answer
    x = 141,617.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.