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Finding the Third Proportional to 35,118 and 74,366

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Solution

The third proportional to 35,118 and 74,366 is: 157,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,118 : 74,366 = 74,366 : x
  2. Step 2: Convert to fraction form
    35,118/74,366 = 74,366/x
  3. Step 3: Cross multiply
    35,118x = 74,366 × 74,366
  4. Step 4: Simplify right side
    35,118x = 5,530,301,956
  5. Step 5: Solve for x
    x = 5,530,301,956/35,118
  6. Step 6: Final answer
    x = 157,477.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.