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Finding the Third Proportional to 99,472 and 150,168

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Solution

The third proportional to 99,472 and 150,168 is: 226,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,472 : 150,168 = 150,168 : x
  2. Step 2: Convert to fraction form
    99,472/150,168 = 150,168/x
  3. Step 3: Cross multiply
    99,472x = 150,168 × 150,168
  4. Step 4: Simplify right side
    99,472x = 22,550,428,224
  5. Step 5: Solve for x
    x = 22,550,428,224/99,472
  6. Step 6: Final answer
    x = 226,701.26

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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.