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Finding the Third Proportional to 67,338 and 104,265

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Solution

The third proportional to 67,338 and 104,265 is: 161,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,338 : 104,265 = 104,265 : x
  2. Step 2: Convert to fraction form
    67,338/104,265 = 104,265/x
  3. Step 3: Cross multiply
    67,338x = 104,265 × 104,265
  4. Step 4: Simplify right side
    67,338x = 10,871,190,225
  5. Step 5: Solve for x
    x = 10,871,190,225/67,338
  6. Step 6: Final answer
    x = 161,442.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.