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Finding the Third Proportional to 47,126 and 70,790

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Solution

The third proportional to 47,126 and 70,790 is: 106,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,126 : 70,790 = 70,790 : x
  2. Step 2: Convert to fraction form
    47,126/70,790 = 70,790/x
  3. Step 3: Cross multiply
    47,126x = 70,790 × 70,790
  4. Step 4: Simplify right side
    47,126x = 5,011,224,100
  5. Step 5: Solve for x
    x = 5,011,224,100/47,126
  6. Step 6: Final answer
    x = 106,336.72

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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.