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Finding the Third Proportional to 131,523.75 and 204,985.69

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Solution

The third proportional to 131,523.75 and 204,985.69 is: 319,479.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,523.75 : 204,985.69 = 204,985.69 : x
  2. Step 2: Convert to fraction form
    131,523.75/204,985.69 = 204,985.69/x
  3. Step 3: Cross multiply
    131,523.75x = 204,985.69 × 204,985.69
  4. Step 4: Simplify right side
    131,523.75x = 42,019,132,079.85
  5. Step 5: Solve for x
    x = 42,019,132,079.85/131,523.75
  6. Step 6: Final answer
    x = 319,479.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.