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Finding the Third Proportional to 111,561 and 245,165

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Solution

The third proportional to 111,561 and 245,165 is: 538,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,561 : 245,165 = 245,165 : x
  2. Step 2: Convert to fraction form
    111,561/245,165 = 245,165/x
  3. Step 3: Cross multiply
    111,561x = 245,165 × 245,165
  4. Step 4: Simplify right side
    111,561x = 60,105,877,225
  5. Step 5: Solve for x
    x = 60,105,877,225/111,561
  6. Step 6: Final answer
    x = 538,771.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.