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Finding the Third Proportional to 99,037 and 146,371

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Solution

The third proportional to 99,037 and 146,371 is: 216,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,037 : 146,371 = 146,371 : x
  2. Step 2: Convert to fraction form
    99,037/146,371 = 146,371/x
  3. Step 3: Cross multiply
    99,037x = 146,371 × 146,371
  4. Step 4: Simplify right side
    99,037x = 21,424,469,641
  5. Step 5: Solve for x
    x = 21,424,469,641/99,037
  6. Step 6: Final answer
    x = 216,327.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.