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Finding the Third Proportional to 63,912 and 96,762

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Solution

The third proportional to 63,912 and 96,762 is: 146,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,912 : 96,762 = 96,762 : x
  2. Step 2: Convert to fraction form
    63,912/96,762 = 96,762/x
  3. Step 3: Cross multiply
    63,912x = 96,762 × 96,762
  4. Step 4: Simplify right side
    63,912x = 9,362,884,644
  5. Step 5: Solve for x
    x = 9,362,884,644/63,912
  6. Step 6: Final answer
    x = 146,496.51

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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.