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Finding the Third Proportional to 101,898 and 135,900

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Solution

The third proportional to 101,898 and 135,900 is: 181,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,898 : 135,900 = 135,900 : x
  2. Step 2: Convert to fraction form
    101,898/135,900 = 135,900/x
  3. Step 3: Cross multiply
    101,898x = 135,900 × 135,900
  4. Step 4: Simplify right side
    101,898x = 18,468,810,000
  5. Step 5: Solve for x
    x = 18,468,810,000/101,898
  6. Step 6: Final answer
    x = 181,248.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.