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Finding the Third Proportional to 122,452 and 185,526

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Solution

The third proportional to 122,452 and 185,526 is: 281,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,452 : 185,526 = 185,526 : x
  2. Step 2: Convert to fraction form
    122,452/185,526 = 185,526/x
  3. Step 3: Cross multiply
    122,452x = 185,526 × 185,526
  4. Step 4: Simplify right side
    122,452x = 34,419,896,676
  5. Step 5: Solve for x
    x = 34,419,896,676/122,452
  6. Step 6: Final answer
    x = 281,088.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.