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Finding the Third Proportional to 86,414 and 133,306

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Solution

The third proportional to 86,414 and 133,306 is: 205,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,414 : 133,306 = 133,306 : x
  2. Step 2: Convert to fraction form
    86,414/133,306 = 133,306/x
  3. Step 3: Cross multiply
    86,414x = 133,306 × 133,306
  4. Step 4: Simplify right side
    86,414x = 17,770,489,636
  5. Step 5: Solve for x
    x = 17,770,489,636/86,414
  6. Step 6: Final answer
    x = 205,643.64

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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.