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Finding the Third Proportional to 73,758 and 158,034

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Solution

The third proportional to 73,758 and 158,034 is: 338,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,758 : 158,034 = 158,034 : x
  2. Step 2: Convert to fraction form
    73,758/158,034 = 158,034/x
  3. Step 3: Cross multiply
    73,758x = 158,034 × 158,034
  4. Step 4: Simplify right side
    73,758x = 24,974,745,156
  5. Step 5: Solve for x
    x = 24,974,745,156/73,758
  6. Step 6: Final answer
    x = 338,603.88

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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.