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Finding the Third Proportional to 84,118 and 130,227

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Solution

The third proportional to 84,118 and 130,227 is: 201,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,118 : 130,227 = 130,227 : x
  2. Step 2: Convert to fraction form
    84,118/130,227 = 130,227/x
  3. Step 3: Cross multiply
    84,118x = 130,227 × 130,227
  4. Step 4: Simplify right side
    84,118x = 16,959,071,529
  5. Step 5: Solve for x
    x = 16,959,071,529/84,118
  6. Step 6: Final answer
    x = 201,610.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.