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Finding the Third Proportional to 61,329 and 134,322

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Solution

The third proportional to 61,329 and 134,322 is: 294,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,329 : 134,322 = 134,322 : x
  2. Step 2: Convert to fraction form
    61,329/134,322 = 134,322/x
  3. Step 3: Cross multiply
    61,329x = 134,322 × 134,322
  4. Step 4: Simplify right side
    61,329x = 18,042,399,684
  5. Step 5: Solve for x
    x = 18,042,399,684/61,329
  6. Step 6: Final answer
    x = 294,190.35

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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.