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Finding the Third Proportional to 35,118 and 75,609

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Solution

The third proportional to 35,118 and 75,609 is: 162,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,118 : 75,609 = 75,609 : x
  2. Step 2: Convert to fraction form
    35,118/75,609 = 75,609/x
  3. Step 3: Cross multiply
    35,118x = 75,609 × 75,609
  4. Step 4: Simplify right side
    35,118x = 5,716,720,881
  5. Step 5: Solve for x
    x = 5,716,720,881/35,118
  6. Step 6: Final answer
    x = 162,786.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.