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Finding the Third Proportional to 42,558 and 67,357

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Solution

The third proportional to 42,558 and 67,357 is: 106,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,558 : 67,357 = 67,357 : x
  2. Step 2: Convert to fraction form
    42,558/67,357 = 67,357/x
  3. Step 3: Cross multiply
    42,558x = 67,357 × 67,357
  4. Step 4: Simplify right side
    42,558x = 4,536,965,449
  5. Step 5: Solve for x
    x = 4,536,965,449/42,558
  6. Step 6: Final answer
    x = 106,606.64

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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.