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Finding the Third Proportional to 50,332 and 109,400

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Solution

The third proportional to 50,332 and 109,400 is: 237,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,332 : 109,400 = 109,400 : x
  2. Step 2: Convert to fraction form
    50,332/109,400 = 109,400/x
  3. Step 3: Cross multiply
    50,332x = 109,400 × 109,400
  4. Step 4: Simplify right side
    50,332x = 11,968,360,000
  5. Step 5: Solve for x
    x = 11,968,360,000/50,332
  6. Step 6: Final answer
    x = 237,788.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.