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Finding the Third Proportional to 56,044.31 and 120,942.28

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Solution

The third proportional to 56,044.31 and 120,942.28 is: 260,990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,044.31 : 120,942.28 = 120,942.28 : x
  2. Step 2: Convert to fraction form
    56,044.31/120,942.28 = 120,942.28/x
  3. Step 3: Cross multiply
    56,044.31x = 120,942.28 × 120,942.28
  4. Step 4: Simplify right side
    56,044.31x = 14,627,035,393.95
  5. Step 5: Solve for x
    x = 14,627,035,393.95/56,044.31
  6. Step 6: Final answer
    x = 260,990.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.