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Finding the Third Proportional to 40,113 and 81,199.50

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Solution

The third proportional to 40,113 and 81,199.50 is: 164,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,113 : 81,199.50 = 81,199.50 : x
  2. Step 2: Convert to fraction form
    40,113/81,199.50 = 81,199.50/x
  3. Step 3: Cross multiply
    40,113x = 81,199.50 × 81,199.50
  4. Step 4: Simplify right side
    40,113x = 6,593,358,800.25
  5. Step 5: Solve for x
    x = 6,593,358,800.25/40,113
  6. Step 6: Final answer
    x = 164,369.63

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.