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Finding the Third Proportional to 42,418 and 67,156

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Solution

The third proportional to 42,418 and 67,156 is: 106,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,418 : 67,156 = 67,156 : x
  2. Step 2: Convert to fraction form
    42,418/67,156 = 67,156/x
  3. Step 3: Cross multiply
    42,418x = 67,156 × 67,156
  4. Step 4: Simplify right side
    42,418x = 4,509,928,336
  5. Step 5: Solve for x
    x = 4,509,928,336/42,418
  6. Step 6: Final answer
    x = 106,321.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.