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Finding the Third Proportional to 99,542 and 154,133

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Solution

The third proportional to 99,542 and 154,133 is: 238,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542 : 154,133 = 154,133 : x
  2. Step 2: Convert to fraction form
    99,542/154,133 = 154,133/x
  3. Step 3: Cross multiply
    99,542x = 154,133 × 154,133
  4. Step 4: Simplify right side
    99,542x = 23,756,981,689
  5. Step 5: Solve for x
    x = 23,756,981,689/99,542
  6. Step 6: Final answer
    x = 238,662.89

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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.