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Finding the Third Proportional to 61,230 and 131,892

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Solution

The third proportional to 61,230 and 131,892 is: 284,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,230 : 131,892 = 131,892 : x
  2. Step 2: Convert to fraction form
    61,230/131,892 = 131,892/x
  3. Step 3: Cross multiply
    61,230x = 131,892 × 131,892
  4. Step 4: Simplify right side
    61,230x = 17,395,499,664
  5. Step 5: Solve for x
    x = 17,395,499,664/61,230
  6. Step 6: Final answer
    x = 284,100.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.