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Finding the Third Proportional to 64,753 and 100,005

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Solution

The third proportional to 64,753 and 100,005 is: 154,448.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,753 : 100,005 = 100,005 : x
  2. Step 2: Convert to fraction form
    64,753/100,005 = 100,005/x
  3. Step 3: Cross multiply
    64,753x = 100,005 × 100,005
  4. Step 4: Simplify right side
    64,753x = 10,001,000,025
  5. Step 5: Solve for x
    x = 10,001,000,025/64,753
  6. Step 6: Final answer
    x = 154,448.44

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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.