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Finding the Third Proportional to 52,042 and 111,980

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Solution

The third proportional to 52,042 and 111,980 is: 240,950.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,042 : 111,980 = 111,980 : x
  2. Step 2: Convert to fraction form
    52,042/111,980 = 111,980/x
  3. Step 3: Cross multiply
    52,042x = 111,980 × 111,980
  4. Step 4: Simplify right side
    52,042x = 12,539,520,400
  5. Step 5: Solve for x
    x = 12,539,520,400/52,042
  6. Step 6: Final answer
    x = 240,950.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.