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Finding the Third Proportional to 67,734 and 105,478

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Solution

The third proportional to 67,734 and 105,478 is: 164,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,734 : 105,478 = 105,478 : x
  2. Step 2: Convert to fraction form
    67,734/105,478 = 105,478/x
  3. Step 3: Cross multiply
    67,734x = 105,478 × 105,478
  4. Step 4: Simplify right side
    67,734x = 11,125,608,484
  5. Step 5: Solve for x
    x = 11,125,608,484/67,734
  6. Step 6: Final answer
    x = 164,254.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.