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Finding the Third Proportional to 113,869 and 162,209

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Solution

The third proportional to 113,869 and 162,209 is: 231,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,869 : 162,209 = 162,209 : x
  2. Step 2: Convert to fraction form
    113,869/162,209 = 162,209/x
  3. Step 3: Cross multiply
    113,869x = 162,209 × 162,209
  4. Step 4: Simplify right side
    113,869x = 26,311,759,681
  5. Step 5: Solve for x
    x = 26,311,759,681/113,869
  6. Step 6: Final answer
    x = 231,070.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.