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Finding the Third Proportional to 51,052.78 and 105,748.03

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Solution

The third proportional to 51,052.78 and 105,748.03 is: 219,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,052.78 : 105,748.03 = 105,748.03 : x
  2. Step 2: Convert to fraction form
    51,052.78/105,748.03 = 105,748.03/x
  3. Step 3: Cross multiply
    51,052.78x = 105,748.03 × 105,748.03
  4. Step 4: Simplify right side
    51,052.78x = 11,182,646,113.25
  5. Step 5: Solve for x
    x = 11,182,646,113.25/51,052.78
  6. Step 6: Final answer
    x = 219,040.88

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.