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Finding the Third Proportional to 129,421.50 and 203,061

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Solution

The third proportional to 129,421.50 and 203,061 is: 318,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,421.50 : 203,061 = 203,061 : x
  2. Step 2: Convert to fraction form
    129,421.50/203,061 = 203,061/x
  3. Step 3: Cross multiply
    129,421.50x = 203,061 × 203,061
  4. Step 4: Simplify right side
    129,421.50x = 41,233,769,721
  5. Step 5: Solve for x
    x = 41,233,769,721/129,421.50
  6. Step 6: Final answer
    x = 318,600.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.