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Finding the Third Proportional to 40,214 and 61,153

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Solution

The third proportional to 40,214 and 61,153 is: 92,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,214 : 61,153 = 61,153 : x
  2. Step 2: Convert to fraction form
    40,214/61,153 = 61,153/x
  3. Step 3: Cross multiply
    40,214x = 61,153 × 61,153
  4. Step 4: Simplify right side
    40,214x = 3,739,689,409
  5. Step 5: Solve for x
    x = 3,739,689,409/40,214
  6. Step 6: Final answer
    x = 92,994.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.