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Finding the Third Proportional to 51,302.25 and 76,748.63

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Solution

The third proportional to 51,302.25 and 76,748.63 is: 114,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,302.25 : 76,748.63 = 76,748.63 : x
  2. Step 2: Convert to fraction form
    51,302.25/76,748.63 = 76,748.63/x
  3. Step 3: Cross multiply
    51,302.25x = 76,748.63 × 76,748.63
  4. Step 4: Simplify right side
    51,302.25x = 5,890,351,439.39
  5. Step 5: Solve for x
    x = 5,890,351,439.39/51,302.25
  6. Step 6: Final answer
    x = 114,816.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.