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Finding the Third Proportional to 43,616 and 69,920

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Solution

The third proportional to 43,616 and 69,920 is: 112,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,616 : 69,920 = 69,920 : x
  2. Step 2: Convert to fraction form
    43,616/69,920 = 69,920/x
  3. Step 3: Cross multiply
    43,616x = 69,920 × 69,920
  4. Step 4: Simplify right side
    43,616x = 4,888,806,400
  5. Step 5: Solve for x
    x = 4,888,806,400/43,616
  6. Step 6: Final answer
    x = 112,087.45

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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.