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Finding the Third Proportional to 40,522 and 87,287

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Solution

The third proportional to 40,522 and 87,287 is: 188,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,522 : 87,287 = 87,287 : x
  2. Step 2: Convert to fraction form
    40,522/87,287 = 87,287/x
  3. Step 3: Cross multiply
    40,522x = 87,287 × 87,287
  4. Step 4: Simplify right side
    40,522x = 7,619,020,369
  5. Step 5: Solve for x
    x = 7,619,020,369/40,522
  6. Step 6: Final answer
    x = 188,021.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.