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Finding the Third Proportional to 51,599.53 and 79,748.61

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Solution

The third proportional to 51,599.53 and 79,748.61 is: 123,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,599.53 : 79,748.61 = 79,748.61 : x
  2. Step 2: Convert to fraction form
    51,599.53/79,748.61 = 79,748.61/x
  3. Step 3: Cross multiply
    51,599.53x = 79,748.61 × 79,748.61
  4. Step 4: Simplify right side
    51,599.53x = 6,359,841,320.28
  5. Step 5: Solve for x
    x = 6,359,841,320.28/51,599.53
  6. Step 6: Final answer
    x = 123,253.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.