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Finding the Third Proportional to 122,452 and 189,138

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Solution

The third proportional to 122,452 and 189,138 is: 292,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,452 : 189,138 = 189,138 : x
  2. Step 2: Convert to fraction form
    122,452/189,138 = 189,138/x
  3. Step 3: Cross multiply
    122,452x = 189,138 × 189,138
  4. Step 4: Simplify right side
    122,452x = 35,773,183,044
  5. Step 5: Solve for x
    x = 35,773,183,044/122,452
  6. Step 6: Final answer
    x = 292,140.46

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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.