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Finding the Third Proportional to 120,070 and 258,761

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Solution

The third proportional to 120,070 and 258,761 is: 557,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,070 : 258,761 = 258,761 : x
  2. Step 2: Convert to fraction form
    120,070/258,761 = 258,761/x
  3. Step 3: Cross multiply
    120,070x = 258,761 × 258,761
  4. Step 4: Simplify right side
    120,070x = 66,957,255,121
  5. Step 5: Solve for x
    x = 66,957,255,121/120,070
  6. Step 6: Final answer
    x = 557,651.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.