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Finding the Third Proportional to 113,872 and 162,213

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Solution

The third proportional to 113,872 and 162,213 is: 231,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,872 : 162,213 = 162,213 : x
  2. Step 2: Convert to fraction form
    113,872/162,213 = 162,213/x
  3. Step 3: Cross multiply
    113,872x = 162,213 × 162,213
  4. Step 4: Simplify right side
    113,872x = 26,313,057,369
  5. Step 5: Solve for x
    x = 26,313,057,369/113,872
  6. Step 6: Final answer
    x = 231,075.75

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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.