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Finding the Third Proportional to 69,753 and 101,226

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Solution

The third proportional to 69,753 and 101,226 is: 146,899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,753 : 101,226 = 101,226 : x
  2. Step 2: Convert to fraction form
    69,753/101,226 = 101,226/x
  3. Step 3: Cross multiply
    69,753x = 101,226 × 101,226
  4. Step 4: Simplify right side
    69,753x = 10,246,703,076
  5. Step 5: Solve for x
    x = 10,246,703,076/69,753
  6. Step 6: Final answer
    x = 146,899.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.