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Finding the Third Proportional to 85,903 and 131,076

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Solution

The third proportional to 85,903 and 131,076 is: 200,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,903 : 131,076 = 131,076 : x
  2. Step 2: Convert to fraction form
    85,903/131,076 = 131,076/x
  3. Step 3: Cross multiply
    85,903x = 131,076 × 131,076
  4. Step 4: Simplify right side
    85,903x = 17,180,917,776
  5. Step 5: Solve for x
    x = 17,180,917,776/85,903
  6. Step 6: Final answer
    x = 200,003.70

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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.