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Finding the Third Proportional to 73,764 and 158,046

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Solution

The third proportional to 73,764 and 158,046 is: 338,627.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,764 : 158,046 = 158,046 : x
  2. Step 2: Convert to fraction form
    73,764/158,046 = 158,046/x
  3. Step 3: Cross multiply
    73,764x = 158,046 × 158,046
  4. Step 4: Simplify right side
    73,764x = 24,978,538,116
  5. Step 5: Solve for x
    x = 24,978,538,116/73,764
  6. Step 6: Final answer
    x = 338,627.76

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