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Finding the Third Proportional to 104,410 and 158,073

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Solution

The third proportional to 104,410 and 158,073 is: 239,316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,410 : 158,073 = 158,073 : x
  2. Step 2: Convert to fraction form
    104,410/158,073 = 158,073/x
  3. Step 3: Cross multiply
    104,410x = 158,073 × 158,073
  4. Step 4: Simplify right side
    104,410x = 24,987,073,329
  5. Step 5: Solve for x
    x = 24,987,073,329/104,410
  6. Step 6: Final answer
    x = 239,316.86

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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.