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Finding the Third Proportional to 47,166 and 71,357

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Solution

The third proportional to 47,166 and 71,357 is: 107,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,166 : 71,357 = 71,357 : x
  2. Step 2: Convert to fraction form
    47,166/71,357 = 71,357/x
  3. Step 3: Cross multiply
    47,166x = 71,357 × 71,357
  4. Step 4: Simplify right side
    47,166x = 5,091,821,449
  5. Step 5: Solve for x
    x = 5,091,821,449/47,166
  6. Step 6: Final answer
    x = 107,955.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.