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Finding the Third Proportional to 122,448 and 189,132

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Solution

The third proportional to 122,448 and 189,132 is: 292,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,448 : 189,132 = 189,132 : x
  2. Step 2: Convert to fraction form
    122,448/189,132 = 189,132/x
  3. Step 3: Cross multiply
    122,448x = 189,132 × 189,132
  4. Step 4: Simplify right side
    122,448x = 35,770,913,424
  5. Step 5: Solve for x
    x = 35,770,913,424/122,448
  6. Step 6: Final answer
    x = 292,131.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.