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Finding the Third Proportional to 109,384 and 143,628

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Solution

The third proportional to 109,384 and 143,628 is: 188,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,384 : 143,628 = 143,628 : x
  2. Step 2: Convert to fraction form
    109,384/143,628 = 143,628/x
  3. Step 3: Cross multiply
    109,384x = 143,628 × 143,628
  4. Step 4: Simplify right side
    109,384x = 20,629,002,384
  5. Step 5: Solve for x
    x = 20,629,002,384/109,384
  6. Step 6: Final answer
    x = 188,592.50

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.