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Finding the Third Proportional to 64,530 and 140,967

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Solution

The third proportional to 64,530 and 140,967 is: 307,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,530 : 140,967 = 140,967 : x
  2. Step 2: Convert to fraction form
    64,530/140,967 = 140,967/x
  3. Step 3: Cross multiply
    64,530x = 140,967 × 140,967
  4. Step 4: Simplify right side
    64,530x = 19,871,695,089
  5. Step 5: Solve for x
    x = 19,871,695,089/64,530
  6. Step 6: Final answer
    x = 307,945.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.