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Finding the Third Proportional to 43,746 and 66,141

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Solution

The third proportional to 43,746 and 66,141 is: 100,000.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,746 : 66,141 = 66,141 : x
  2. Step 2: Convert to fraction form
    43,746/66,141 = 66,141/x
  3. Step 3: Cross multiply
    43,746x = 66,141 × 66,141
  4. Step 4: Simplify right side
    43,746x = 4,374,631,881
  5. Step 5: Solve for x
    x = 4,374,631,881/43,746
  6. Step 6: Final answer
    x = 100,000.73

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Why These Related Problems?

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