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Finding the Third Proportional to 99,997 and 155,037

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Solution

The third proportional to 99,997 and 155,037 is: 240,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,997 : 155,037 = 155,037 : x
  2. Step 2: Convert to fraction form
    99,997/155,037 = 155,037/x
  3. Step 3: Cross multiply
    99,997x = 155,037 × 155,037
  4. Step 4: Simplify right side
    99,997x = 24,036,471,369
  5. Step 5: Solve for x
    x = 24,036,471,369/99,997
  6. Step 6: Final answer
    x = 240,371.92

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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.