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Finding the Third Proportional to 40,113 and 60,084

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Solution

The third proportional to 40,113 and 60,084 is: 89,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,113 : 60,084 = 60,084 : x
  2. Step 2: Convert to fraction form
    40,113/60,084 = 60,084/x
  3. Step 3: Cross multiply
    40,113x = 60,084 × 60,084
  4. Step 4: Simplify right side
    40,113x = 3,610,087,056
  5. Step 5: Solve for x
    x = 3,610,087,056/40,113
  6. Step 6: Final answer
    x = 89,997.93

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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.