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Finding the Third Proportional to 99,652 and 148,059

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Solution

The third proportional to 99,652 and 148,059 is: 219,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,652 : 148,059 = 148,059 : x
  2. Step 2: Convert to fraction form
    99,652/148,059 = 148,059/x
  3. Step 3: Cross multiply
    99,652x = 148,059 × 148,059
  4. Step 4: Simplify right side
    99,652x = 21,921,467,481
  5. Step 5: Solve for x
    x = 21,921,467,481/99,652
  6. Step 6: Final answer
    x = 219,980.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.