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Finding the Third Proportional to 35,226 and 78,328

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Solution

The third proportional to 35,226 and 78,328 is: 174,168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,226 : 78,328 = 78,328 : x
  2. Step 2: Convert to fraction form
    35,226/78,328 = 78,328/x
  3. Step 3: Cross multiply
    35,226x = 78,328 × 78,328
  4. Step 4: Simplify right side
    35,226x = 6,135,275,584
  5. Step 5: Solve for x
    x = 6,135,275,584/35,226
  6. Step 6: Final answer
    x = 174,168.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.