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Finding the Third Proportional to 101,006 and 158,451

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Solution

The third proportional to 101,006 and 158,451 is: 248,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,006 : 158,451 = 158,451 : x
  2. Step 2: Convert to fraction form
    101,006/158,451 = 158,451/x
  3. Step 3: Cross multiply
    101,006x = 158,451 × 158,451
  4. Step 4: Simplify right side
    101,006x = 25,106,719,401
  5. Step 5: Solve for x
    x = 25,106,719,401/101,006
  6. Step 6: Final answer
    x = 248,566.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.