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Finding the Third Proportional to 45,997 and 99,373

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Solution

The third proportional to 45,997 and 99,373 is: 214,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,997 : 99,373 = 99,373 : x
  2. Step 2: Convert to fraction form
    45,997/99,373 = 99,373/x
  3. Step 3: Cross multiply
    45,997x = 99,373 × 99,373
  4. Step 4: Simplify right side
    45,997x = 9,874,993,129
  5. Step 5: Solve for x
    x = 9,874,993,129/45,997
  6. Step 6: Final answer
    x = 214,687.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.