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Finding the Third Proportional to 74,814 and 160,137

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Solution

The third proportional to 74,814 and 160,137 is: 342,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,814 : 160,137 = 160,137 : x
  2. Step 2: Convert to fraction form
    74,814/160,137 = 160,137/x
  3. Step 3: Cross multiply
    74,814x = 160,137 × 160,137
  4. Step 4: Simplify right side
    74,814x = 25,643,858,769
  5. Step 5: Solve for x
    x = 25,643,858,769/74,814
  6. Step 6: Final answer
    x = 342,768.18

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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.