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Finding the Third Proportional to 119,182.96 and 176,712.73

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Solution

The third proportional to 119,182.96 and 176,712.73 is: 262,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,182.96 : 176,712.73 = 176,712.73 : x
  2. Step 2: Convert to fraction form
    119,182.96/176,712.73 = 176,712.73/x
  3. Step 3: Cross multiply
    119,182.96x = 176,712.73 × 176,712.73
  4. Step 4: Simplify right side
    119,182.96x = 31,227,389,800.01
  5. Step 5: Solve for x
    x = 31,227,389,800.01/119,182.96
  6. Step 6: Final answer
    x = 262,012.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.