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Finding the Third Proportional to 45,780 and 70,744

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Solution

The third proportional to 45,780 and 70,744 is: 109,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,780 : 70,744 = 70,744 : x
  2. Step 2: Convert to fraction form
    45,780/70,744 = 70,744/x
  3. Step 3: Cross multiply
    45,780x = 70,744 × 70,744
  4. Step 4: Simplify right side
    45,780x = 5,004,713,536
  5. Step 5: Solve for x
    x = 5,004,713,536/45,780
  6. Step 6: Final answer
    x = 109,320.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.