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Finding the Third Proportional to 34,145.93 and 69,646.71

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Solution

The third proportional to 34,145.93 and 69,646.71 is: 142,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,145.93 : 69,646.71 = 69,646.71 : x
  2. Step 2: Convert to fraction form
    34,145.93/69,646.71 = 69,646.71/x
  3. Step 3: Cross multiply
    34,145.93x = 69,646.71 × 69,646.71
  4. Step 4: Simplify right side
    34,145.93x = 4,850,664,344.41
  5. Step 5: Solve for x
    x = 4,850,664,344.41/34,145.93
  6. Step 6: Final answer
    x = 142,056.88

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.