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Finding the Third Proportional to 43,674 and 93,578

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Solution

The third proportional to 43,674 and 93,578 is: 200,504.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,674 : 93,578 = 93,578 : x
  2. Step 2: Convert to fraction form
    43,674/93,578 = 93,578/x
  3. Step 3: Cross multiply
    43,674x = 93,578 × 93,578
  4. Step 4: Simplify right side
    43,674x = 8,756,842,084
  5. Step 5: Solve for x
    x = 8,756,842,084/43,674
  6. Step 6: Final answer
    x = 200,504.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.