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Finding the Third Proportional to 92,884 and 144,006

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Solution

The third proportional to 92,884 and 144,006 is: 223,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,884 : 144,006 = 144,006 : x
  2. Step 2: Convert to fraction form
    92,884/144,006 = 144,006/x
  3. Step 3: Cross multiply
    92,884x = 144,006 × 144,006
  4. Step 4: Simplify right side
    92,884x = 20,737,728,036
  5. Step 5: Solve for x
    x = 20,737,728,036/92,884
  6. Step 6: Final answer
    x = 223,264.80

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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.