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Finding the Third Proportional to 43,061.63 and 68,743.69

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Solution

The third proportional to 43,061.63 and 68,743.69 is: 109,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,061.63 : 68,743.69 = 68,743.69 : x
  2. Step 2: Convert to fraction form
    43,061.63/68,743.69 = 68,743.69/x
  3. Step 3: Cross multiply
    43,061.63x = 68,743.69 × 68,743.69
  4. Step 4: Simplify right side
    43,061.63x = 4,725,694,571.10
  5. Step 5: Solve for x
    x = 4,725,694,571.10/43,061.63
  6. Step 6: Final answer
    x = 109,742.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.