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Finding the Third Proportional to 51,572 and 111,564

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Solution

The third proportional to 51,572 and 111,564 is: 241,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,572 : 111,564 = 111,564 : x
  2. Step 2: Convert to fraction form
    51,572/111,564 = 111,564/x
  3. Step 3: Cross multiply
    51,572x = 111,564 × 111,564
  4. Step 4: Simplify right side
    51,572x = 12,446,526,096
  5. Step 5: Solve for x
    x = 12,446,526,096/51,572
  6. Step 6: Final answer
    x = 241,342.71

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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.