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Finding the Third Proportional to 99,138 and 142,002

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Solution

The third proportional to 99,138 and 142,002 is: 203,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,138 : 142,002 = 142,002 : x
  2. Step 2: Convert to fraction form
    99,138/142,002 = 142,002/x
  3. Step 3: Cross multiply
    99,138x = 142,002 × 142,002
  4. Step 4: Simplify right side
    99,138x = 20,164,568,004
  5. Step 5: Solve for x
    x = 20,164,568,004/99,138
  6. Step 6: Final answer
    x = 203,398.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.