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Finding the Third Proportional to 56,107.69 and 122,254.31

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Solution

The third proportional to 56,107.69 and 122,254.31 is: 266,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,107.69 : 122,254.31 = 122,254.31 : x
  2. Step 2: Convert to fraction form
    56,107.69/122,254.31 = 122,254.31/x
  3. Step 3: Cross multiply
    56,107.69x = 122,254.31 × 122,254.31
  4. Step 4: Simplify right side
    56,107.69x = 14,946,116,924.85
  5. Step 5: Solve for x
    x = 14,946,116,924.85/56,107.69
  6. Step 6: Final answer
    x = 266,382.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.