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Finding the Third Proportional to 86,068 and 186,434

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Solution

The third proportional to 86,068 and 186,434 is: 403,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,068 : 186,434 = 186,434 : x
  2. Step 2: Convert to fraction form
    86,068/186,434 = 186,434/x
  3. Step 3: Cross multiply
    86,068x = 186,434 × 186,434
  4. Step 4: Simplify right side
    86,068x = 34,757,636,356
  5. Step 5: Solve for x
    x = 34,757,636,356/86,068
  6. Step 6: Final answer
    x = 403,839.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.