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Finding the Third Proportional to 85,500 and 186,732

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Solution

The third proportional to 85,500 and 186,732 is: 407,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,500 : 186,732 = 186,732 : x
  2. Step 2: Convert to fraction form
    85,500/186,732 = 186,732/x
  3. Step 3: Cross multiply
    85,500x = 186,732 × 186,732
  4. Step 4: Simplify right side
    85,500x = 34,868,839,824
  5. Step 5: Solve for x
    x = 34,868,839,824/85,500
  6. Step 6: Final answer
    x = 407,822.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.