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Finding the Third Proportional to 47,229 and 70,722

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Solution

The third proportional to 47,229 and 70,722 is: 105,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,229 : 70,722 = 70,722 : x
  2. Step 2: Convert to fraction form
    47,229/70,722 = 70,722/x
  3. Step 3: Cross multiply
    47,229x = 70,722 × 70,722
  4. Step 4: Simplify right side
    47,229x = 5,001,601,284
  5. Step 5: Solve for x
    x = 5,001,601,284/47,229
  6. Step 6: Final answer
    x = 105,901.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.