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Finding the Third Proportional to 56,135.25 and 122,753.25

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Solution

The third proportional to 56,135.25 and 122,753.25 is: 268,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,135.25 : 122,753.25 = 122,753.25 : x
  2. Step 2: Convert to fraction form
    56,135.25/122,753.25 = 122,753.25/x
  3. Step 3: Cross multiply
    56,135.25x = 122,753.25 × 122,753.25
  4. Step 4: Simplify right side
    56,135.25x = 15,068,360,385.56
  5. Step 5: Solve for x
    x = 15,068,360,385.56/56,135.25
  6. Step 6: Final answer
    x = 268,429.56

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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.