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Finding the Third Proportional to 125,581.50 and 181,215

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Solution

The third proportional to 125,581.50 and 181,215 is: 261,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,581.50 : 181,215 = 181,215 : x
  2. Step 2: Convert to fraction form
    125,581.50/181,215 = 181,215/x
  3. Step 3: Cross multiply
    125,581.50x = 181,215 × 181,215
  4. Step 4: Simplify right side
    125,581.50x = 32,838,876,225
  5. Step 5: Solve for x
    x = 32,838,876,225/125,581.50
  6. Step 6: Final answer
    x = 261,494.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.