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Finding the Third Proportional to 52,784.34 and 109,936.97

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Solution

The third proportional to 52,784.34 and 109,936.97 is: 228,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,784.34 : 109,936.97 = 109,936.97 : x
  2. Step 2: Convert to fraction form
    52,784.34/109,936.97 = 109,936.97/x
  3. Step 3: Cross multiply
    52,784.34x = 109,936.97 × 109,936.97
  4. Step 4: Simplify right side
    52,784.34x = 12,086,137,097.94
  5. Step 5: Solve for x
    x = 12,086,137,097.94/52,784.34
  6. Step 6: Final answer
    x = 228,972.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.