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Finding the Third Proportional to 64,350 and 96,933

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Solution

The third proportional to 64,350 and 96,933 is: 146,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,350 : 96,933 = 96,933 : x
  2. Step 2: Convert to fraction form
    64,350/96,933 = 96,933/x
  3. Step 3: Cross multiply
    64,350x = 96,933 × 96,933
  4. Step 4: Simplify right side
    64,350x = 9,396,006,489
  5. Step 5: Solve for x
    x = 9,396,006,489/64,350
  6. Step 6: Final answer
    x = 146,014.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.