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Finding the Third Proportional to 55,263.52 and 112,845.66

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Solution

The third proportional to 55,263.52 and 112,845.66 is: 230,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,263.52 : 112,845.66 = 112,845.66 : x
  2. Step 2: Convert to fraction form
    55,263.52/112,845.66 = 112,845.66/x
  3. Step 3: Cross multiply
    55,263.52x = 112,845.66 × 112,845.66
  4. Step 4: Simplify right side
    55,263.52x = 12,734,142,134.49
  5. Step 5: Solve for x
    x = 12,734,142,134.49/55,263.52
  6. Step 6: Final answer
    x = 230,425.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.