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Finding the Third Proportional to 119,545.50 and 179,088

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Solution

The third proportional to 119,545.50 and 179,088 is: 268,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,545.50 : 179,088 = 179,088 : x
  2. Step 2: Convert to fraction form
    119,545.50/179,088 = 179,088/x
  3. Step 3: Cross multiply
    119,545.50x = 179,088 × 179,088
  4. Step 4: Simplify right side
    119,545.50x = 32,072,511,744
  5. Step 5: Solve for x
    x = 32,072,511,744/119,545.50
  6. Step 6: Final answer
    x = 268,287.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.