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Finding the Third Proportional to 43,642 and 69,216

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Solution

The third proportional to 43,642 and 69,216 is: 109,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,642 : 69,216 = 69,216 : x
  2. Step 2: Convert to fraction form
    43,642/69,216 = 69,216/x
  3. Step 3: Cross multiply
    43,642x = 69,216 × 69,216
  4. Step 4: Simplify right side
    43,642x = 4,790,854,656
  5. Step 5: Solve for x
    x = 4,790,854,656/43,642
  6. Step 6: Final answer
    x = 109,776.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.