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Finding the Third Proportional to 34,078.50 and 73,017

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Solution

The third proportional to 34,078.50 and 73,017 is: 156,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078.50 : 73,017 = 73,017 : x
  2. Step 2: Convert to fraction form
    34,078.50/73,017 = 73,017/x
  3. Step 3: Cross multiply
    34,078.50x = 73,017 × 73,017
  4. Step 4: Simplify right side
    34,078.50x = 5,331,482,289
  5. Step 5: Solve for x
    x = 5,331,482,289/34,078.50
  6. Step 6: Final answer
    x = 156,447.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.