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Finding the Third Proportional to 51,353 and 111,130

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Solution

The third proportional to 51,353 and 111,130 is: 240,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,353 : 111,130 = 111,130 : x
  2. Step 2: Convert to fraction form
    51,353/111,130 = 111,130/x
  3. Step 3: Cross multiply
    51,353x = 111,130 × 111,130
  4. Step 4: Simplify right side
    51,353x = 12,349,876,900
  5. Step 5: Solve for x
    x = 12,349,876,900/51,353
  6. Step 6: Final answer
    x = 240,489.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.