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Finding the Third Proportional to 71,791.31 and 102,758.63

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Solution

The third proportional to 71,791.31 and 102,758.63 is: 147,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,791.31 : 102,758.63 = 102,758.63 : x
  2. Step 2: Convert to fraction form
    71,791.31/102,758.63 = 102,758.63/x
  3. Step 3: Cross multiply
    71,791.31x = 102,758.63 × 102,758.63
  4. Step 4: Simplify right side
    71,791.31x = 10,559,335,011.89
  5. Step 5: Solve for x
    x = 10,559,335,011.89/71,791.31
  6. Step 6: Final answer
    x = 147,083.74

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.