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Finding the Third Proportional to 52,045.31 and 111,984.47

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Solution

The third proportional to 52,045.31 and 111,984.47 is: 240,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,045.31 : 111,984.47 = 111,984.47 : x
  2. Step 2: Convert to fraction form
    52,045.31/111,984.47 = 111,984.47/x
  3. Step 3: Cross multiply
    52,045.31x = 111,984.47 × 111,984.47
  4. Step 4: Simplify right side
    52,045.31x = 12,540,521,241.22
  5. Step 5: Solve for x
    x = 12,540,521,241.22/52,045.31
  6. Step 6: Final answer
    x = 240,953.90

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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.