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Finding the Third Proportional to 67,859.50 and 99,762

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Solution

The third proportional to 67,859.50 and 99,762 is: 146,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,859.50 : 99,762 = 99,762 : x
  2. Step 2: Convert to fraction form
    67,859.50/99,762 = 99,762/x
  3. Step 3: Cross multiply
    67,859.50x = 99,762 × 99,762
  4. Step 4: Simplify right side
    67,859.50x = 9,952,456,644
  5. Step 5: Solve for x
    x = 9,952,456,644/67,859.50
  6. Step 6: Final answer
    x = 146,662.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.