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Finding the Third Proportional to 67,366 and 105,370

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Solution

The third proportional to 67,366 and 105,370 is: 164,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,366 : 105,370 = 105,370 : x
  2. Step 2: Convert to fraction form
    67,366/105,370 = 105,370/x
  3. Step 3: Cross multiply
    67,366x = 105,370 × 105,370
  4. Step 4: Simplify right side
    67,366x = 11,102,836,900
  5. Step 5: Solve for x
    x = 11,102,836,900/67,366
  6. Step 6: Final answer
    x = 164,813.66

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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.