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Finding the Third Proportional to 85,725 and 186,192

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Solution

The third proportional to 85,725 and 186,192 is: 404,403.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,725 : 186,192 = 186,192 : x
  2. Step 2: Convert to fraction form
    85,725/186,192 = 186,192/x
  3. Step 3: Cross multiply
    85,725x = 186,192 × 186,192
  4. Step 4: Simplify right side
    85,725x = 34,667,460,864
  5. Step 5: Solve for x
    x = 34,667,460,864/85,725
  6. Step 6: Final answer
    x = 404,403.16

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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.