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Finding the Third Proportional to 86,512 and 186,524

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Solution

The third proportional to 86,512 and 186,524 is: 402,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,512 : 186,524 = 186,524 : x
  2. Step 2: Convert to fraction form
    86,512/186,524 = 186,524/x
  3. Step 3: Cross multiply
    86,512x = 186,524 × 186,524
  4. Step 4: Simplify right side
    86,512x = 34,791,202,576
  5. Step 5: Solve for x
    x = 34,791,202,576/86,512
  6. Step 6: Final answer
    x = 402,154.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.