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Finding the Third Proportional to 47,281 and 72,177

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Solution

The third proportional to 47,281 and 72,177 is: 110,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,281 : 72,177 = 72,177 : x
  2. Step 2: Convert to fraction form
    47,281/72,177 = 72,177/x
  3. Step 3: Cross multiply
    47,281x = 72,177 × 72,177
  4. Step 4: Simplify right side
    47,281x = 5,209,519,329
  5. Step 5: Solve for x
    x = 5,209,519,329/47,281
  6. Step 6: Final answer
    x = 110,182.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.