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Finding the Third Proportional to 39,329 and 86,434

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Solution

The third proportional to 39,329 and 86,434 is: 189,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,329 : 86,434 = 86,434 : x
  2. Step 2: Convert to fraction form
    39,329/86,434 = 86,434/x
  3. Step 3: Cross multiply
    39,329x = 86,434 × 86,434
  4. Step 4: Simplify right side
    39,329x = 7,470,836,356
  5. Step 5: Solve for x
    x = 7,470,836,356/39,329
  6. Step 6: Final answer
    x = 189,957.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.