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Finding the Third Proportional to 74,794 and 114,958

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Solution

The third proportional to 74,794 and 114,958 is: 176,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,794 : 114,958 = 114,958 : x
  2. Step 2: Convert to fraction form
    74,794/114,958 = 114,958/x
  3. Step 3: Cross multiply
    74,794x = 114,958 × 114,958
  4. Step 4: Simplify right side
    74,794x = 13,215,341,764
  5. Step 5: Solve for x
    x = 13,215,341,764/74,794
  6. Step 6: Final answer
    x = 176,689.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.