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Finding the Third Proportional to 40,092 and 87,018

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Solution

The third proportional to 40,092 and 87,018 is: 188,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,092 : 87,018 = 87,018 : x
  2. Step 2: Convert to fraction form
    40,092/87,018 = 87,018/x
  3. Step 3: Cross multiply
    40,092x = 87,018 × 87,018
  4. Step 4: Simplify right side
    40,092x = 7,572,132,324
  5. Step 5: Solve for x
    x = 7,572,132,324/40,092
  6. Step 6: Final answer
    x = 188,868.91

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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.