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Finding the Third Proportional to 85,836 and 131,307

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Solution

The third proportional to 85,836 and 131,307 is: 200,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,836 : 131,307 = 131,307 : x
  2. Step 2: Convert to fraction form
    85,836/131,307 = 131,307/x
  3. Step 3: Cross multiply
    85,836x = 131,307 × 131,307
  4. Step 4: Simplify right side
    85,836x = 17,241,528,249
  5. Step 5: Solve for x
    x = 17,241,528,249/85,836
  6. Step 6: Final answer
    x = 200,865.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.