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Finding the Third Proportional to 68,684 and 106,292

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Solution

The third proportional to 68,684 and 106,292 is: 164,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,684 : 106,292 = 106,292 : x
  2. Step 2: Convert to fraction form
    68,684/106,292 = 106,292/x
  3. Step 3: Cross multiply
    68,684x = 106,292 × 106,292
  4. Step 4: Simplify right side
    68,684x = 11,297,989,264
  5. Step 5: Solve for x
    x = 11,297,989,264/68,684
  6. Step 6: Final answer
    x = 164,492.30

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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.