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Finding the Third Proportional to 75,594 and 158,979

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Solution

The third proportional to 75,594 and 158,979 is: 334,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,594 : 158,979 = 158,979 : x
  2. Step 2: Convert to fraction form
    75,594/158,979 = 158,979/x
  3. Step 3: Cross multiply
    75,594x = 158,979 × 158,979
  4. Step 4: Simplify right side
    75,594x = 25,274,322,441
  5. Step 5: Solve for x
    x = 25,274,322,441/75,594
  6. Step 6: Final answer
    x = 334,342.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.