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Finding the Third Proportional to 86,273 and 186,154

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Solution

The third proportional to 86,273 and 186,154 is: 401,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,273 : 186,154 = 186,154 : x
  2. Step 2: Convert to fraction form
    86,273/186,154 = 186,154/x
  3. Step 3: Cross multiply
    86,273x = 186,154 × 186,154
  4. Step 4: Simplify right side
    86,273x = 34,653,311,716
  5. Step 5: Solve for x
    x = 34,653,311,716/86,273
  6. Step 6: Final answer
    x = 401,670.42

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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.