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Finding the Third Proportional to 97,224 and 158,756

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Solution

The third proportional to 97,224 and 158,756 is: 259,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,224 : 158,756 = 158,756 : x
  2. Step 2: Convert to fraction form
    97,224/158,756 = 158,756/x
  3. Step 3: Cross multiply
    97,224x = 158,756 × 158,756
  4. Step 4: Simplify right side
    97,224x = 25,203,467,536
  5. Step 5: Solve for x
    x = 25,203,467,536/97,224
  6. Step 6: Final answer
    x = 259,230.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.