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Finding the Third Proportional to 68,984 and 106,850

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Solution

The third proportional to 68,984 and 106,850 is: 165,501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,984 : 106,850 = 106,850 : x
  2. Step 2: Convert to fraction form
    68,984/106,850 = 106,850/x
  3. Step 3: Cross multiply
    68,984x = 106,850 × 106,850
  4. Step 4: Simplify right side
    68,984x = 11,416,922,500
  5. Step 5: Solve for x
    x = 11,416,922,500/68,984
  6. Step 6: Final answer
    x = 165,501.02

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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.