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Finding the Third Proportional to 35,154 and 75,684

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Solution

The third proportional to 35,154 and 75,684 is: 162,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,154 : 75,684 = 75,684 : x
  2. Step 2: Convert to fraction form
    35,154/75,684 = 75,684/x
  3. Step 3: Cross multiply
    35,154x = 75,684 × 75,684
  4. Step 4: Simplify right side
    35,154x = 5,728,067,856
  5. Step 5: Solve for x
    x = 5,728,067,856/35,154
  6. Step 6: Final answer
    x = 162,942.14

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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.