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Finding the Third Proportional to 73,772 and 158,063

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Solution

The third proportional to 73,772 and 158,063 is: 338,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,772 : 158,063 = 158,063 : x
  2. Step 2: Convert to fraction form
    73,772/158,063 = 158,063/x
  3. Step 3: Cross multiply
    73,772x = 158,063 × 158,063
  4. Step 4: Simplify right side
    73,772x = 24,983,911,969
  5. Step 5: Solve for x
    x = 24,983,911,969/73,772
  6. Step 6: Final answer
    x = 338,663.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.