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Finding the Third Proportional to 26,042 and 56,039

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Solution

The third proportional to 26,042 and 56,039 is: 120,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,042 : 56,039 = 56,039 : x
  2. Step 2: Convert to fraction form
    26,042/56,039 = 56,039/x
  3. Step 3: Cross multiply
    26,042x = 56,039 × 56,039
  4. Step 4: Simplify right side
    26,042x = 3,140,369,521
  5. Step 5: Solve for x
    x = 3,140,369,521/26,042
  6. Step 6: Final answer
    x = 120,588.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.