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Finding the Third Proportional to 64,751 and 100,002

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Solution

The third proportional to 64,751 and 100,002 is: 154,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,751 : 100,002 = 100,002 : x
  2. Step 2: Convert to fraction form
    64,751/100,002 = 100,002/x
  3. Step 3: Cross multiply
    64,751x = 100,002 × 100,002
  4. Step 4: Simplify right side
    64,751x = 10,000,400,004
  5. Step 5: Solve for x
    x = 10,000,400,004/64,751
  6. Step 6: Final answer
    x = 154,443.95

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