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Finding the Third Proportional to 65,002 and 100,383

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Solution

The third proportional to 65,002 and 100,383 is: 155,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,002 : 100,383 = 100,383 : x
  2. Step 2: Convert to fraction form
    65,002/100,383 = 100,383/x
  3. Step 3: Cross multiply
    65,002x = 100,383 × 100,383
  4. Step 4: Simplify right side
    65,002x = 10,076,746,689
  5. Step 5: Solve for x
    x = 10,076,746,689/65,002
  6. Step 6: Final answer
    x = 155,022.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.