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Finding the Third Proportional to 69,098 and 106,701

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Solution

The third proportional to 69,098 and 106,701 is: 164,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,098 : 106,701 = 106,701 : x
  2. Step 2: Convert to fraction form
    69,098/106,701 = 106,701/x
  3. Step 3: Cross multiply
    69,098x = 106,701 × 106,701
  4. Step 4: Simplify right side
    69,098x = 11,385,103,401
  5. Step 5: Solve for x
    x = 11,385,103,401/69,098
  6. Step 6: Final answer
    x = 164,767.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.