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Finding the Third Proportional to 34,167.38 and 74,914.88

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Solution

The third proportional to 34,167.38 and 74,914.88 is: 164,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,167.38 : 74,914.88 = 74,914.88 : x
  2. Step 2: Convert to fraction form
    34,167.38/74,914.88 = 74,914.88/x
  3. Step 3: Cross multiply
    34,167.38x = 74,914.88 × 74,914.88
  4. Step 4: Simplify right side
    34,167.38x = 5,612,238,496.27
  5. Step 5: Solve for x
    x = 5,612,238,496.27/34,167.38
  6. Step 6: Final answer
    x = 164,257.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.