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Finding the Third Proportional to 84,012 and 133,093

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Solution

The third proportional to 84,012 and 133,093 is: 210,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,012 : 133,093 = 133,093 : x
  2. Step 2: Convert to fraction form
    84,012/133,093 = 133,093/x
  3. Step 3: Cross multiply
    84,012x = 133,093 × 133,093
  4. Step 4: Simplify right side
    84,012x = 17,713,746,649
  5. Step 5: Solve for x
    x = 17,713,746,649/84,012
  6. Step 6: Final answer
    x = 210,847.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.