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Finding the Third Proportional to 56,084 and 86,206

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Solution

The third proportional to 56,084 and 86,206 is: 132,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,084 : 86,206 = 86,206 : x
  2. Step 2: Convert to fraction form
    56,084/86,206 = 86,206/x
  3. Step 3: Cross multiply
    56,084x = 86,206 × 86,206
  4. Step 4: Simplify right side
    56,084x = 7,431,474,436
  5. Step 5: Solve for x
    x = 7,431,474,436/56,084
  6. Step 6: Final answer
    x = 132,506.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.