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Finding the Third Proportional to 32,761 and 78,013

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Solution

The third proportional to 32,761 and 78,013 is: 185,770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761 : 78,013 = 78,013 : x
  2. Step 2: Convert to fraction form
    32,761/78,013 = 78,013/x
  3. Step 3: Cross multiply
    32,761x = 78,013 × 78,013
  4. Step 4: Simplify right side
    32,761x = 6,086,028,169
  5. Step 5: Solve for x
    x = 6,086,028,169/32,761
  6. Step 6: Final answer
    x = 185,770.52

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.