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Finding the Third Proportional to 68,597 and 106,164

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Solution

The third proportional to 68,597 and 106,164 is: 164,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,597 : 106,164 = 106,164 : x
  2. Step 2: Convert to fraction form
    68,597/106,164 = 106,164/x
  3. Step 3: Cross multiply
    68,597x = 106,164 × 106,164
  4. Step 4: Simplify right side
    68,597x = 11,270,794,896
  5. Step 5: Solve for x
    x = 11,270,794,896/68,597
  6. Step 6: Final answer
    x = 164,304.49

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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.