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Finding the Third Proportional to 99,522 and 150,723

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Solution

The third proportional to 99,522 and 150,723 is: 228,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,522 : 150,723 = 150,723 : x
  2. Step 2: Convert to fraction form
    99,522/150,723 = 150,723/x
  3. Step 3: Cross multiply
    99,522x = 150,723 × 150,723
  4. Step 4: Simplify right side
    99,522x = 22,717,422,729
  5. Step 5: Solve for x
    x = 22,717,422,729/99,522
  6. Step 6: Final answer
    x = 228,265.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.