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Finding the Third Proportional to 65,844 and 128,367

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Solution

The third proportional to 65,844 and 128,367 is: 250,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,844 : 128,367 = 128,367 : x
  2. Step 2: Convert to fraction form
    65,844/128,367 = 128,367/x
  3. Step 3: Cross multiply
    65,844x = 128,367 × 128,367
  4. Step 4: Simplify right side
    65,844x = 16,478,086,689
  5. Step 5: Solve for x
    x = 16,478,086,689/65,844
  6. Step 6: Final answer
    x = 250,259.50

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.