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Finding the Third Proportional to 55,443.50 and 119,189

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Solution

The third proportional to 55,443.50 and 119,189 is: 256,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,443.50 : 119,189 = 119,189 : x
  2. Step 2: Convert to fraction form
    55,443.50/119,189 = 119,189/x
  3. Step 3: Cross multiply
    55,443.50x = 119,189 × 119,189
  4. Step 4: Simplify right side
    55,443.50x = 14,206,017,721
  5. Step 5: Solve for x
    x = 14,206,017,721/55,443.50
  6. Step 6: Final answer
    x = 256,225.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.