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Finding the Third Proportional to 51,028.50 and 108,127.50

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Solution

The third proportional to 51,028.50 and 108,127.50 is: 229,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,028.50 : 108,127.50 = 108,127.50 : x
  2. Step 2: Convert to fraction form
    51,028.50/108,127.50 = 108,127.50/x
  3. Step 3: Cross multiply
    51,028.50x = 108,127.50 × 108,127.50
  4. Step 4: Simplify right side
    51,028.50x = 11,691,556,256.25
  5. Step 5: Solve for x
    x = 11,691,556,256.25/51,028.50
  6. Step 6: Final answer
    x = 229,118.16

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.