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Finding the Third Proportional to 69,848 and 108,240

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Solution

The third proportional to 69,848 and 108,240 is: 167,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,848 : 108,240 = 108,240 : x
  2. Step 2: Convert to fraction form
    69,848/108,240 = 108,240/x
  3. Step 3: Cross multiply
    69,848x = 108,240 × 108,240
  4. Step 4: Simplify right side
    69,848x = 11,715,897,600
  5. Step 5: Solve for x
    x = 11,715,897,600/69,848
  6. Step 6: Final answer
    x = 167,734.19

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