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Finding the Third Proportional to 50,973.05 and 110,147.34

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Solution

The third proportional to 50,973.05 and 110,147.34 is: 238,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,973.05 : 110,147.34 = 110,147.34 : x
  2. Step 2: Convert to fraction form
    50,973.05/110,147.34 = 110,147.34/x
  3. Step 3: Cross multiply
    50,973.05x = 110,147.34 × 110,147.34
  4. Step 4: Simplify right side
    50,973.05x = 12,132,437,335.18
  5. Step 5: Solve for x
    x = 12,132,437,335.18/50,973.05
  6. Step 6: Final answer
    x = 238,016.72

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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.