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Finding the Third Proportional to 69,451.69 and 105,145.78

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Solution

The third proportional to 69,451.69 and 105,145.78 is: 159,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,451.69 : 105,145.78 = 105,145.78 : x
  2. Step 2: Convert to fraction form
    69,451.69/105,145.78 = 105,145.78/x
  3. Step 3: Cross multiply
    69,451.69x = 105,145.78 × 105,145.78
  4. Step 4: Simplify right side
    69,451.69x = 11,055,635,314.67
  5. Step 5: Solve for x
    x = 11,055,635,314.67/69,451.69
  6. Step 6: Final answer
    x = 159,184.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.