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Finding the Third Proportional to 42,018 and 65,059

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Solution

The third proportional to 42,018 and 65,059 is: 100,734.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,018 : 65,059 = 65,059 : x
  2. Step 2: Convert to fraction form
    42,018/65,059 = 65,059/x
  3. Step 3: Cross multiply
    42,018x = 65,059 × 65,059
  4. Step 4: Simplify right side
    42,018x = 4,232,673,481
  5. Step 5: Solve for x
    x = 4,232,673,481/42,018
  6. Step 6: Final answer
    x = 100,734.77

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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.