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Finding the Third Proportional to 39,567 and 93,401.50

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Solution

The third proportional to 39,567 and 93,401.50 is: 220,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,567 : 93,401.50 = 93,401.50 : x
  2. Step 2: Convert to fraction form
    39,567/93,401.50 = 93,401.50/x
  3. Step 3: Cross multiply
    39,567x = 93,401.50 × 93,401.50
  4. Step 4: Simplify right side
    39,567x = 8,723,840,202.25
  5. Step 5: Solve for x
    x = 8,723,840,202.25/39,567
  6. Step 6: Final answer
    x = 220,482.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.