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Finding the Third Proportional to 51,052.78 and 76,271.63

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Solution

The third proportional to 51,052.78 and 76,271.63 is: 113,947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,052.78 : 76,271.63 = 76,271.63 : x
  2. Step 2: Convert to fraction form
    51,052.78/76,271.63 = 76,271.63/x
  3. Step 3: Cross multiply
    51,052.78x = 76,271.63 × 76,271.63
  4. Step 4: Simplify right side
    51,052.78x = 5,817,360,780.14
  5. Step 5: Solve for x
    x = 5,817,360,780.14/51,052.78
  6. Step 6: Final answer
    x = 113,947.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.