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Finding the Third Proportional to 53,094 and 80,322

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Solution

The third proportional to 53,094 and 80,322 is: 121,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,094 : 80,322 = 80,322 : x
  2. Step 2: Convert to fraction form
    53,094/80,322 = 80,322/x
  3. Step 3: Cross multiply
    53,094x = 80,322 × 80,322
  4. Step 4: Simplify right side
    53,094x = 6,451,623,684
  5. Step 5: Solve for x
    x = 6,451,623,684/53,094
  6. Step 6: Final answer
    x = 121,513.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.