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Finding the Third Proportional to 42,016 and 65,050

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Solution

The third proportional to 42,016 and 65,050 is: 100,711.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,016 : 65,050 = 65,050 : x
  2. Step 2: Convert to fraction form
    42,016/65,050 = 65,050/x
  3. Step 3: Cross multiply
    42,016x = 65,050 × 65,050
  4. Step 4: Simplify right side
    42,016x = 4,231,502,500
  5. Step 5: Solve for x
    x = 4,231,502,500/42,016
  6. Step 6: Final answer
    x = 100,711.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.