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Finding the Third Proportional to 69,908 and 89,796

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Solution

The third proportional to 69,908 and 89,796 is: 115,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,908 : 89,796 = 89,796 : x
  2. Step 2: Convert to fraction form
    69,908/89,796 = 89,796/x
  3. Step 3: Cross multiply
    69,908x = 89,796 × 89,796
  4. Step 4: Simplify right side
    69,908x = 8,063,321,616
  5. Step 5: Solve for x
    x = 8,063,321,616/69,908
  6. Step 6: Final answer
    x = 115,341.90

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.