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Finding the Third Proportional to 48,741 and 106,791

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Solution

The third proportional to 48,741 and 106,791 is: 233,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,741 : 106,791 = 106,791 : x
  2. Step 2: Convert to fraction form
    48,741/106,791 = 106,791/x
  3. Step 3: Cross multiply
    48,741x = 106,791 × 106,791
  4. Step 4: Simplify right side
    48,741x = 11,404,317,681
  5. Step 5: Solve for x
    x = 11,404,317,681/48,741
  6. Step 6: Final answer
    x = 233,977.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.