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Finding the Third Proportional to 119,949 and 179,263.50

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Solution

The third proportional to 119,949 and 179,263.50 is: 267,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,949 : 179,263.50 = 179,263.50 : x
  2. Step 2: Convert to fraction form
    119,949/179,263.50 = 179,263.50/x
  3. Step 3: Cross multiply
    119,949x = 179,263.50 × 179,263.50
  4. Step 4: Simplify right side
    119,949x = 32,135,402,432.25
  5. Step 5: Solve for x
    x = 32,135,402,432.25/119,949
  6. Step 6: Final answer
    x = 267,908.88

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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.