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Finding the Third Proportional to 65,956 and 106,350

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Solution

The third proportional to 65,956 and 106,350 is: 171,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,956 : 106,350 = 106,350 : x
  2. Step 2: Convert to fraction form
    65,956/106,350 = 106,350/x
  3. Step 3: Cross multiply
    65,956x = 106,350 × 106,350
  4. Step 4: Simplify right side
    65,956x = 11,310,322,500
  5. Step 5: Solve for x
    x = 11,310,322,500/65,956
  6. Step 6: Final answer
    x = 171,482.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.