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Finding the Third Proportional to 47,174 and 70,753

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Solution

The third proportional to 47,174 and 70,753 is: 106,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,174 : 70,753 = 70,753 : x
  2. Step 2: Convert to fraction form
    47,174/70,753 = 70,753/x
  3. Step 3: Cross multiply
    47,174x = 70,753 × 70,753
  4. Step 4: Simplify right side
    47,174x = 5,005,987,009
  5. Step 5: Solve for x
    x = 5,005,987,009/47,174
  6. Step 6: Final answer
    x = 106,117.50

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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.