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Finding the Third Proportional to 101,018 and 150,651

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Solution

The third proportional to 101,018 and 150,651 is: 224,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,018 : 150,651 = 150,651 : x
  2. Step 2: Convert to fraction form
    101,018/150,651 = 150,651/x
  3. Step 3: Cross multiply
    101,018x = 150,651 × 150,651
  4. Step 4: Simplify right side
    101,018x = 22,695,723,801
  5. Step 5: Solve for x
    x = 22,695,723,801/101,018
  6. Step 6: Final answer
    x = 224,670.10

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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.