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Finding the Third Proportional to 61,953 and 131,898

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Solution

The third proportional to 61,953 and 131,898 is: 280,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,953 : 131,898 = 131,898 : x
  2. Step 2: Convert to fraction form
    61,953/131,898 = 131,898/x
  3. Step 3: Cross multiply
    61,953x = 131,898 × 131,898
  4. Step 4: Simplify right side
    61,953x = 17,397,082,404
  5. Step 5: Solve for x
    x = 17,397,082,404/61,953
  6. Step 6: Final answer
    x = 280,810.98

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.