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Finding the Third Proportional to 122,904 and 195,424

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Solution

The third proportional to 122,904 and 195,424 is: 310,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,904 : 195,424 = 195,424 : x
  2. Step 2: Convert to fraction form
    122,904/195,424 = 195,424/x
  3. Step 3: Cross multiply
    122,904x = 195,424 × 195,424
  4. Step 4: Simplify right side
    122,904x = 38,190,539,776
  5. Step 5: Solve for x
    x = 38,190,539,776/122,904
  6. Step 6: Final answer
    x = 310,734.72

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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.