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Finding the Third Proportional to 86,242 and 186,092

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Solution

The third proportional to 86,242 and 186,092 is: 401,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,242 : 186,092 = 186,092 : x
  2. Step 2: Convert to fraction form
    86,242/186,092 = 186,092/x
  3. Step 3: Cross multiply
    86,242x = 186,092 × 186,092
  4. Step 4: Simplify right side
    86,242x = 34,630,232,464
  5. Step 5: Solve for x
    x = 34,630,232,464/86,242
  6. Step 6: Final answer
    x = 401,547.19

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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.