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Finding the Third Proportional to 119,189 and 176,723.50

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Solution

The third proportional to 119,189 and 176,723.50 is: 262,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,189 : 176,723.50 = 176,723.50 : x
  2. Step 2: Convert to fraction form
    119,189/176,723.50 = 176,723.50/x
  3. Step 3: Cross multiply
    119,189x = 176,723.50 × 176,723.50
  4. Step 4: Simplify right side
    119,189x = 31,231,195,452.25
  5. Step 5: Solve for x
    x = 31,231,195,452.25/119,189
  6. Step 6: Final answer
    x = 262,030.85

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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.