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Finding the Third Proportional to 97,373 and 150,366

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Solution

The third proportional to 97,373 and 150,366 is: 232,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,373 : 150,366 = 150,366 : x
  2. Step 2: Convert to fraction form
    97,373/150,366 = 150,366/x
  3. Step 3: Cross multiply
    97,373x = 150,366 × 150,366
  4. Step 4: Simplify right side
    97,373x = 22,609,933,956
  5. Step 5: Solve for x
    x = 22,609,933,956/97,373
  6. Step 6: Final answer
    x = 232,199.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.