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Finding the Third Proportional to 42,478 and 67,485

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Solution

The third proportional to 42,478 and 67,485 is: 107,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,478 : 67,485 = 67,485 : x
  2. Step 2: Convert to fraction form
    42,478/67,485 = 67,485/x
  3. Step 3: Cross multiply
    42,478x = 67,485 × 67,485
  4. Step 4: Simplify right side
    42,478x = 4,554,225,225
  5. Step 5: Solve for x
    x = 4,554,225,225/42,478
  6. Step 6: Final answer
    x = 107,213.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.