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Finding the Third Proportional to 133,230.45 and 172,852.73

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Solution

The third proportional to 133,230.45 and 172,852.73 is: 224,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,230.45 : 172,852.73 = 172,852.73 : x
  2. Step 2: Convert to fraction form
    133,230.45/172,852.73 = 172,852.73/x
  3. Step 3: Cross multiply
    133,230.45x = 172,852.73 × 172,852.73
  4. Step 4: Simplify right side
    133,230.45x = 29,878,067,780.91
  5. Step 5: Solve for x
    x = 29,878,067,780.91/133,230.45
  6. Step 6: Final answer
    x = 224,258.56

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.