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Finding the Third Proportional to 129,524.06 and 199,814.06

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Solution

The third proportional to 129,524.06 and 199,814.06 is: 308,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,524.06 : 199,814.06 = 199,814.06 : x
  2. Step 2: Convert to fraction form
    129,524.06/199,814.06 = 199,814.06/x
  3. Step 3: Cross multiply
    129,524.06x = 199,814.06 × 199,814.06
  4. Step 4: Simplify right side
    129,524.06x = 39,925,659,572.75
  5. Step 5: Solve for x
    x = 39,925,659,572.75/129,524.06
  6. Step 6: Final answer
    x = 308,248.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.