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Finding the Third Proportional to 69,135 and 109,928

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Solution

The third proportional to 69,135 and 109,928 is: 174,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,135 : 109,928 = 109,928 : x
  2. Step 2: Convert to fraction form
    69,135/109,928 = 109,928/x
  3. Step 3: Cross multiply
    69,135x = 109,928 × 109,928
  4. Step 4: Simplify right side
    69,135x = 12,084,165,184
  5. Step 5: Solve for x
    x = 12,084,165,184/69,135
  6. Step 6: Final answer
    x = 174,790.85

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