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Finding the Third Proportional to 42,026 and 65,163

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Solution

The third proportional to 42,026 and 65,163 is: 101,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,026 : 65,163 = 65,163 : x
  2. Step 2: Convert to fraction form
    42,026/65,163 = 65,163/x
  3. Step 3: Cross multiply
    42,026x = 65,163 × 65,163
  4. Step 4: Simplify right side
    42,026x = 4,246,216,569
  5. Step 5: Solve for x
    x = 4,246,216,569/42,026
  6. Step 6: Final answer
    x = 101,037.85

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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.