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Finding the Third Proportional to 52,005 and 85,424

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Solution

The third proportional to 52,005 and 85,424 is: 140,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005 : 85,424 = 85,424 : x
  2. Step 2: Convert to fraction form
    52,005/85,424 = 85,424/x
  3. Step 3: Cross multiply
    52,005x = 85,424 × 85,424
  4. Step 4: Simplify right side
    52,005x = 7,297,259,776
  5. Step 5: Solve for x
    x = 7,297,259,776/52,005
  6. Step 6: Final answer
    x = 140,318.43

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.