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Finding the Third Proportional to 69,061 and 104,959

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Solution

The third proportional to 69,061 and 104,959 is: 159,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,061 : 104,959 = 104,959 : x
  2. Step 2: Convert to fraction form
    69,061/104,959 = 104,959/x
  3. Step 3: Cross multiply
    69,061x = 104,959 × 104,959
  4. Step 4: Simplify right side
    69,061x = 11,016,391,681
  5. Step 5: Solve for x
    x = 11,016,391,681/69,061
  6. Step 6: Final answer
    x = 159,516.83

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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.