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Finding the Third Proportional to 55,571 and 119,830

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Solution

The third proportional to 55,571 and 119,830 is: 258,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,571 : 119,830 = 119,830 : x
  2. Step 2: Convert to fraction form
    55,571/119,830 = 119,830/x
  3. Step 3: Cross multiply
    55,571x = 119,830 × 119,830
  4. Step 4: Simplify right side
    55,571x = 14,359,228,900
  5. Step 5: Solve for x
    x = 14,359,228,900/55,571
  6. Step 6: Final answer
    x = 258,394.29

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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.