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Finding the Third Proportional to 43,967.16 and 68,122.69

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Solution

The third proportional to 43,967.16 and 68,122.69 is: 105,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,967.16 : 68,122.69 = 68,122.69 : x
  2. Step 2: Convert to fraction form
    43,967.16/68,122.69 = 68,122.69/x
  3. Step 3: Cross multiply
    43,967.16x = 68,122.69 × 68,122.69
  4. Step 4: Simplify right side
    43,967.16x = 4,640,700,552.22
  5. Step 5: Solve for x
    x = 4,640,700,552.22/43,967.16
  6. Step 6: Final answer
    x = 105,549.25

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Why These Related Problems?

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