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Finding the Third Proportional to 47,423 and 101,593

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Solution

The third proportional to 47,423 and 101,593 is: 217,639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,423 : 101,593 = 101,593 : x
  2. Step 2: Convert to fraction form
    47,423/101,593 = 101,593/x
  3. Step 3: Cross multiply
    47,423x = 101,593 × 101,593
  4. Step 4: Simplify right side
    47,423x = 10,321,137,649
  5. Step 5: Solve for x
    x = 10,321,137,649/47,423
  6. Step 6: Final answer
    x = 217,639.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.