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Finding the Third Proportional to 69,120 and 105,048

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Solution

The third proportional to 69,120 and 105,048 is: 159,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,120 : 105,048 = 105,048 : x
  2. Step 2: Convert to fraction form
    69,120/105,048 = 105,048/x
  3. Step 3: Cross multiply
    69,120x = 105,048 × 105,048
  4. Step 4: Simplify right side
    69,120x = 11,035,082,304
  5. Step 5: Solve for x
    x = 11,035,082,304/69,120
  6. Step 6: Final answer
    x = 159,651.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.