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Finding the Third Proportional to 47,461 and 68,743

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Solution

The third proportional to 47,461 and 68,743 is: 99,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,461 : 68,743 = 68,743 : x
  2. Step 2: Convert to fraction form
    47,461/68,743 = 68,743/x
  3. Step 3: Cross multiply
    47,461x = 68,743 × 68,743
  4. Step 4: Simplify right side
    47,461x = 4,725,600,049
  5. Step 5: Solve for x
    x = 4,725,600,049/47,461
  6. Step 6: Final answer
    x = 99,568.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.