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Finding the Third Proportional to 122,764 and 185,806

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Solution

The third proportional to 122,764 and 185,806 is: 281,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,764 : 185,806 = 185,806 : x
  2. Step 2: Convert to fraction form
    122,764/185,806 = 185,806/x
  3. Step 3: Cross multiply
    122,764x = 185,806 × 185,806
  4. Step 4: Simplify right side
    122,764x = 34,523,869,636
  5. Step 5: Solve for x
    x = 34,523,869,636/122,764
  6. Step 6: Final answer
    x = 281,221.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.