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Finding the Third Proportional to 101,653 and 135,848

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Solution

The third proportional to 101,653 and 135,848 is: 181,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,653 : 135,848 = 135,848 : x
  2. Step 2: Convert to fraction form
    101,653/135,848 = 135,848/x
  3. Step 3: Cross multiply
    101,653x = 135,848 × 135,848
  4. Step 4: Simplify right side
    101,653x = 18,454,679,104
  5. Step 5: Solve for x
    x = 18,454,679,104/101,653
  6. Step 6: Final answer
    x = 181,545.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.