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Finding the Third Proportional to 51,515.25 and 108,642

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Solution

The third proportional to 51,515.25 and 108,642 is: 229,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,515.25 : 108,642 = 108,642 : x
  2. Step 2: Convert to fraction form
    51,515.25/108,642 = 108,642/x
  3. Step 3: Cross multiply
    51,515.25x = 108,642 × 108,642
  4. Step 4: Simplify right side
    51,515.25x = 11,803,084,164
  5. Step 5: Solve for x
    x = 11,803,084,164/51,515.25
  6. Step 6: Final answer
    x = 229,118.25

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.