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Finding the Third Proportional to 70,951 and 105,811

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Solution

The third proportional to 70,951 and 105,811 is: 157,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,951 : 105,811 = 105,811 : x
  2. Step 2: Convert to fraction form
    70,951/105,811 = 105,811/x
  3. Step 3: Cross multiply
    70,951x = 105,811 × 105,811
  4. Step 4: Simplify right side
    70,951x = 11,195,967,721
  5. Step 5: Solve for x
    x = 11,195,967,721/70,951
  6. Step 6: Final answer
    x = 157,798.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.