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Finding the Third Proportional to 64,065 and 95,799

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Solution

The third proportional to 64,065 and 95,799 is: 143,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,065 : 95,799 = 95,799 : x
  2. Step 2: Convert to fraction form
    64,065/95,799 = 95,799/x
  3. Step 3: Cross multiply
    64,065x = 95,799 × 95,799
  4. Step 4: Simplify right side
    64,065x = 9,177,448,401
  5. Step 5: Solve for x
    x = 9,177,448,401/64,065
  6. Step 6: Final answer
    x = 143,252.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.