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Finding the Third Proportional to 40,186 and 87,062

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Solution

The third proportional to 40,186 and 87,062 is: 188,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,186 : 87,062 = 87,062 : x
  2. Step 2: Convert to fraction form
    40,186/87,062 = 87,062/x
  3. Step 3: Cross multiply
    40,186x = 87,062 × 87,062
  4. Step 4: Simplify right side
    40,186x = 7,579,791,844
  5. Step 5: Solve for x
    x = 7,579,791,844/40,186
  6. Step 6: Final answer
    x = 188,617.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.