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Finding the Third Proportional to 40,122 and 60,343.50

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Solution

The third proportional to 40,122 and 60,343.50 is: 90,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,122 : 60,343.50 = 60,343.50 : x
  2. Step 2: Convert to fraction form
    40,122/60,343.50 = 60,343.50/x
  3. Step 3: Cross multiply
    40,122x = 60,343.50 × 60,343.50
  4. Step 4: Simplify right side
    40,122x = 3,641,337,992.25
  5. Step 5: Solve for x
    x = 3,641,337,992.25/40,122
  6. Step 6: Final answer
    x = 90,756.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.