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Finding the Third Proportional to 71,496 and 155,443.50

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Solution

The third proportional to 71,496 and 155,443.50 is: 337,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,496 : 155,443.50 = 155,443.50 : x
  2. Step 2: Convert to fraction form
    71,496/155,443.50 = 155,443.50/x
  3. Step 3: Cross multiply
    71,496x = 155,443.50 × 155,443.50
  4. Step 4: Simplify right side
    71,496x = 24,162,681,692.25
  5. Step 5: Solve for x
    x = 24,162,681,692.25/71,496
  6. Step 6: Final answer
    x = 337,958.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.