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Finding the Third Proportional to 68,566 and 100,274

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Solution

The third proportional to 68,566 and 100,274 is: 146,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,566 : 100,274 = 100,274 : x
  2. Step 2: Convert to fraction form
    68,566/100,274 = 100,274/x
  3. Step 3: Cross multiply
    68,566x = 100,274 × 100,274
  4. Step 4: Simplify right side
    68,566x = 10,054,875,076
  5. Step 5: Solve for x
    x = 10,054,875,076/68,566
  6. Step 6: Final answer
    x = 146,645.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.