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Finding the Third Proportional to 43,730 and 95,668

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Solution

The third proportional to 43,730 and 95,668 is: 209,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,730 : 95,668 = 95,668 : x
  2. Step 2: Convert to fraction form
    43,730/95,668 = 95,668/x
  3. Step 3: Cross multiply
    43,730x = 95,668 × 95,668
  4. Step 4: Simplify right side
    43,730x = 9,152,366,224
  5. Step 5: Solve for x
    x = 9,152,366,224/43,730
  6. Step 6: Final answer
    x = 209,292.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.