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Finding the Third Proportional to 76,761 and 122,202

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Solution

The third proportional to 76,761 and 122,202 is: 194,543.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,761 : 122,202 = 122,202 : x
  2. Step 2: Convert to fraction form
    76,761/122,202 = 122,202/x
  3. Step 3: Cross multiply
    76,761x = 122,202 × 122,202
  4. Step 4: Simplify right side
    76,761x = 14,933,328,804
  5. Step 5: Solve for x
    x = 14,933,328,804/76,761
  6. Step 6: Final answer
    x = 194,543.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.