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Finding the Third Proportional to 86,266 and 131,703

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Solution

The third proportional to 86,266 and 131,703 is: 201,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,266 : 131,703 = 131,703 : x
  2. Step 2: Convert to fraction form
    86,266/131,703 = 131,703/x
  3. Step 3: Cross multiply
    86,266x = 131,703 × 131,703
  4. Step 4: Simplify right side
    86,266x = 17,345,680,209
  5. Step 5: Solve for x
    x = 17,345,680,209/86,266
  6. Step 6: Final answer
    x = 201,072.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.