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Finding the Third Proportional to 55,665.50 and 113,274.50

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Solution

The third proportional to 55,665.50 and 113,274.50 is: 230,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,665.50 : 113,274.50 = 113,274.50 : x
  2. Step 2: Convert to fraction form
    55,665.50/113,274.50 = 113,274.50/x
  3. Step 3: Cross multiply
    55,665.50x = 113,274.50 × 113,274.50
  4. Step 4: Simplify right side
    55,665.50x = 12,831,112,350.25
  5. Step 5: Solve for x
    x = 12,831,112,350.25/55,665.50
  6. Step 6: Final answer
    x = 230,503.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.