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Finding the Third Proportional to 85,762 and 186,356

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Solution

The third proportional to 85,762 and 186,356 is: 404,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,762 : 186,356 = 186,356 : x
  2. Step 2: Convert to fraction form
    85,762/186,356 = 186,356/x
  3. Step 3: Cross multiply
    85,762x = 186,356 × 186,356
  4. Step 4: Simplify right side
    85,762x = 34,728,558,736
  5. Step 5: Solve for x
    x = 34,728,558,736/85,762
  6. Step 6: Final answer
    x = 404,941.10

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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.