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Finding the Third Proportional to 74,768 and 157,958

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Solution

The third proportional to 74,768 and 157,958 is: 333,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,768 : 157,958 = 157,958 : x
  2. Step 2: Convert to fraction form
    74,768/157,958 = 157,958/x
  3. Step 3: Cross multiply
    74,768x = 157,958 × 157,958
  4. Step 4: Simplify right side
    74,768x = 24,950,729,764
  5. Step 5: Solve for x
    x = 24,950,729,764/74,768
  6. Step 6: Final answer
    x = 333,708.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.