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Finding the Third Proportional to 64,799 and 99,964

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Solution

The third proportional to 64,799 and 99,964 is: 154,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,799 : 99,964 = 99,964 : x
  2. Step 2: Convert to fraction form
    64,799/99,964 = 99,964/x
  3. Step 3: Cross multiply
    64,799x = 99,964 × 99,964
  4. Step 4: Simplify right side
    64,799x = 9,992,801,296
  5. Step 5: Solve for x
    x = 9,992,801,296/64,799
  6. Step 6: Final answer
    x = 154,212.28

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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.