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Finding the Third Proportional to 40,324 and 88,322

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Solution

The third proportional to 40,324 and 88,322 is: 193,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,324 : 88,322 = 88,322 : x
  2. Step 2: Convert to fraction form
    40,324/88,322 = 88,322/x
  3. Step 3: Cross multiply
    40,324x = 88,322 × 88,322
  4. Step 4: Simplify right side
    40,324x = 7,800,775,684
  5. Step 5: Solve for x
    x = 7,800,775,684/40,324
  6. Step 6: Final answer
    x = 193,452.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.