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Finding the Third Proportional to 64,796 and 105,807

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Solution

The third proportional to 64,796 and 105,807 is: 172,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,796 : 105,807 = 105,807 : x
  2. Step 2: Convert to fraction form
    64,796/105,807 = 105,807/x
  3. Step 3: Cross multiply
    64,796x = 105,807 × 105,807
  4. Step 4: Simplify right side
    64,796x = 11,195,121,249
  5. Step 5: Solve for x
    x = 11,195,121,249/64,796
  6. Step 6: Final answer
    x = 172,774.88

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.