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Finding the Third Proportional to 99,744 and 155,616

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Solution

The third proportional to 99,744 and 155,616 is: 242,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,744 : 155,616 = 155,616 : x
  2. Step 2: Convert to fraction form
    99,744/155,616 = 155,616/x
  3. Step 3: Cross multiply
    99,744x = 155,616 × 155,616
  4. Step 4: Simplify right side
    99,744x = 24,216,339,456
  5. Step 5: Solve for x
    x = 24,216,339,456/99,744
  6. Step 6: Final answer
    x = 242,784.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.