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Finding the Third Proportional to 61,401 and 93,019.50

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Solution

The third proportional to 61,401 and 93,019.50 is: 140,919.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,401 : 93,019.50 = 93,019.50 : x
  2. Step 2: Convert to fraction form
    61,401/93,019.50 = 93,019.50/x
  3. Step 3: Cross multiply
    61,401x = 93,019.50 × 93,019.50
  4. Step 4: Simplify right side
    61,401x = 8,652,627,380.25
  5. Step 5: Solve for x
    x = 8,652,627,380.25/61,401
  6. Step 6: Final answer
    x = 140,919.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.