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Finding the Third Proportional to 50,942.63 and 110,637.38

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Solution

The third proportional to 50,942.63 and 110,637.38 is: 240,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,942.63 : 110,637.38 = 110,637.38 : x
  2. Step 2: Convert to fraction form
    50,942.63/110,637.38 = 110,637.38/x
  3. Step 3: Cross multiply
    50,942.63x = 110,637.38 × 110,637.38
  4. Step 4: Simplify right side
    50,942.63x = 12,240,628,746.89
  5. Step 5: Solve for x
    x = 12,240,628,746.89/50,942.63
  6. Step 6: Final answer
    x = 240,282.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.