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Finding the Third Proportional to 92,942 and 143,612

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Solution

The third proportional to 92,942 and 143,612 is: 221,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,942 : 143,612 = 143,612 : x
  2. Step 2: Convert to fraction form
    92,942/143,612 = 143,612/x
  3. Step 3: Cross multiply
    92,942x = 143,612 × 143,612
  4. Step 4: Simplify right side
    92,942x = 20,624,406,544
  5. Step 5: Solve for x
    x = 20,624,406,544/92,942
  6. Step 6: Final answer
    x = 221,906.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.