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Finding the Third Proportional to 87,662.25 and 186,246

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Solution

The third proportional to 87,662.25 and 186,246 is: 395,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,662.25 : 186,246 = 186,246 : x
  2. Step 2: Convert to fraction form
    87,662.25/186,246 = 186,246/x
  3. Step 3: Cross multiply
    87,662.25x = 186,246 × 186,246
  4. Step 4: Simplify right side
    87,662.25x = 34,687,572,516
  5. Step 5: Solve for x
    x = 34,687,572,516/87,662.25
  6. Step 6: Final answer
    x = 395,695.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.