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Finding the Third Proportional to 52,886.25 and 113,946.75

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Solution

The third proportional to 52,886.25 and 113,946.75 is: 245,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,886.25 : 113,946.75 = 113,946.75 : x
  2. Step 2: Convert to fraction form
    52,886.25/113,946.75 = 113,946.75/x
  3. Step 3: Cross multiply
    52,886.25x = 113,946.75 × 113,946.75
  4. Step 4: Simplify right side
    52,886.25x = 12,983,861,835.56
  5. Step 5: Solve for x
    x = 12,983,861,835.56/52,886.25
  6. Step 6: Final answer
    x = 245,505.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.