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Finding the Third Proportional to 104,355 and 158,787

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Solution

The third proportional to 104,355 and 158,787 is: 241,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,355 : 158,787 = 158,787 : x
  2. Step 2: Convert to fraction form
    104,355/158,787 = 158,787/x
  3. Step 3: Cross multiply
    104,355x = 158,787 × 158,787
  4. Step 4: Simplify right side
    104,355x = 25,213,311,369
  5. Step 5: Solve for x
    x = 25,213,311,369/104,355
  6. Step 6: Final answer
    x = 241,610.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.