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Finding the Third Proportional to 99,661 and 154,473

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Solution

The third proportional to 99,661 and 154,473 is: 239,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,661 : 154,473 = 154,473 : x
  2. Step 2: Convert to fraction form
    99,661/154,473 = 154,473/x
  3. Step 3: Cross multiply
    99,661x = 154,473 × 154,473
  4. Step 4: Simplify right side
    99,661x = 23,861,907,729
  5. Step 5: Solve for x
    x = 23,861,907,729/99,661
  6. Step 6: Final answer
    x = 239,430.75

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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.