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Finding the Third Proportional to 133,251.75 and 176,063.63

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Solution

The third proportional to 133,251.75 and 176,063.63 is: 232,630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,251.75 : 176,063.63 = 176,063.63 : x
  2. Step 2: Convert to fraction form
    133,251.75/176,063.63 = 176,063.63/x
  3. Step 3: Cross multiply
    133,251.75x = 176,063.63 × 176,063.63
  4. Step 4: Simplify right side
    133,251.75x = 30,998,400,048.14
  5. Step 5: Solve for x
    x = 30,998,400,048.14/133,251.75
  6. Step 6: Final answer
    x = 232,630.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.