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Finding the Third Proportional to 99,771 and 146,739.75

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Solution

The third proportional to 99,771 and 146,739.75 is: 215,819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,771 : 146,739.75 = 146,739.75 : x
  2. Step 2: Convert to fraction form
    99,771/146,739.75 = 146,739.75/x
  3. Step 3: Cross multiply
    99,771x = 146,739.75 × 146,739.75
  4. Step 4: Simplify right side
    99,771x = 21,532,554,230.06
  5. Step 5: Solve for x
    x = 21,532,554,230.06/99,771
  6. Step 6: Final answer
    x = 215,819.77

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Why These Related Problems?

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