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Finding the Third Proportional to 40,358 and 86,206

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Solution

The third proportional to 40,358 and 86,206 is: 184,138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,358 : 86,206 = 86,206 : x
  2. Step 2: Convert to fraction form
    40,358/86,206 = 86,206/x
  3. Step 3: Cross multiply
    40,358x = 86,206 × 86,206
  4. Step 4: Simplify right side
    40,358x = 7,431,474,436
  5. Step 5: Solve for x
    x = 7,431,474,436/40,358
  6. Step 6: Final answer
    x = 184,138.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.