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Finding the Third Proportional to 122,613.75 and 195,220.13

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Solution

The third proportional to 122,613.75 and 195,220.13 is: 310,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,613.75 : 195,220.13 = 195,220.13 : x
  2. Step 2: Convert to fraction form
    122,613.75/195,220.13 = 195,220.13/x
  3. Step 3: Cross multiply
    122,613.75x = 195,220.13 × 195,220.13
  4. Step 4: Simplify right side
    122,613.75x = 38,110,897,205.02
  5. Step 5: Solve for x
    x = 38,110,897,205.02/122,613.75
  6. Step 6: Final answer
    x = 310,820.75

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