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Finding the Third Proportional to 40,381 and 60,178

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Solution

The third proportional to 40,381 and 60,178 is: 89,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,381 : 60,178 = 60,178 : x
  2. Step 2: Convert to fraction form
    40,381/60,178 = 60,178/x
  3. Step 3: Cross multiply
    40,381x = 60,178 × 60,178
  4. Step 4: Simplify right side
    40,381x = 3,621,391,684
  5. Step 5: Solve for x
    x = 3,621,391,684/40,381
  6. Step 6: Final answer
    x = 89,680.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.