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Finding the Third Proportional to 126,322.88 and 184,555.13

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Solution

The third proportional to 126,322.88 and 184,555.13 is: 269,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,322.88 : 184,555.13 = 184,555.13 : x
  2. Step 2: Convert to fraction form
    126,322.88/184,555.13 = 184,555.13/x
  3. Step 3: Cross multiply
    126,322.88x = 184,555.13 × 184,555.13
  4. Step 4: Simplify right side
    126,322.88x = 34,060,594,163.77
  5. Step 5: Solve for x
    x = 34,060,594,163.77/126,322.88
  6. Step 6: Final answer
    x = 269,631.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.