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Finding the Third Proportional to 45,056 and 67,422

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Solution

The third proportional to 45,056 and 67,422 is: 100,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,056 : 67,422 = 67,422 : x
  2. Step 2: Convert to fraction form
    45,056/67,422 = 67,422/x
  3. Step 3: Cross multiply
    45,056x = 67,422 × 67,422
  4. Step 4: Simplify right side
    45,056x = 4,545,726,084
  5. Step 5: Solve for x
    x = 4,545,726,084/45,056
  6. Step 6: Final answer
    x = 100,890.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.