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Finding the Third Proportional to 51,132 and 109,371

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Solution

The third proportional to 51,132 and 109,371 is: 233,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,132 : 109,371 = 109,371 : x
  2. Step 2: Convert to fraction form
    51,132/109,371 = 109,371/x
  3. Step 3: Cross multiply
    51,132x = 109,371 × 109,371
  4. Step 4: Simplify right side
    51,132x = 11,962,015,641
  5. Step 5: Solve for x
    x = 11,962,015,641/51,132
  6. Step 6: Final answer
    x = 233,943.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.