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Finding the Third Proportional to 55,961 and 82,884.50

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Solution

The third proportional to 55,961 and 82,884.50 is: 122,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,961 : 82,884.50 = 82,884.50 : x
  2. Step 2: Convert to fraction form
    55,961/82,884.50 = 82,884.50/x
  3. Step 3: Cross multiply
    55,961x = 82,884.50 × 82,884.50
  4. Step 4: Simplify right side
    55,961x = 6,869,840,340.25
  5. Step 5: Solve for x
    x = 6,869,840,340.25/55,961
  6. Step 6: Final answer
    x = 122,761.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.