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Finding the Third Proportional to 73,106 and 109,371

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Solution

The third proportional to 73,106 and 109,371 is: 163,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,106 : 109,371 = 109,371 : x
  2. Step 2: Convert to fraction form
    73,106/109,371 = 109,371/x
  3. Step 3: Cross multiply
    73,106x = 109,371 × 109,371
  4. Step 4: Simplify right side
    73,106x = 11,962,015,641
  5. Step 5: Solve for x
    x = 11,962,015,641/73,106
  6. Step 6: Final answer
    x = 163,625.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.