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Finding the Third Proportional to 68,275 and 106,007

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Solution

The third proportional to 68,275 and 106,007 is: 164,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,275 : 106,007 = 106,007 : x
  2. Step 2: Convert to fraction form
    68,275/106,007 = 106,007/x
  3. Step 3: Cross multiply
    68,275x = 106,007 × 106,007
  4. Step 4: Simplify right side
    68,275x = 11,237,484,049
  5. Step 5: Solve for x
    x = 11,237,484,049/68,275
  6. Step 6: Final answer
    x = 164,591.49

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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.