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Finding the Third Proportional to 55,702 and 120,282

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Solution

The third proportional to 55,702 and 120,282 is: 259,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702 : 120,282 = 120,282 : x
  2. Step 2: Convert to fraction form
    55,702/120,282 = 120,282/x
  3. Step 3: Cross multiply
    55,702x = 120,282 × 120,282
  4. Step 4: Simplify right side
    55,702x = 14,467,759,524
  5. Step 5: Solve for x
    x = 14,467,759,524/55,702
  6. Step 6: Final answer
    x = 259,735.01

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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.