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Finding the Third Proportional to 52,310.25 and 114,522.75

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Solution

The third proportional to 52,310.25 and 114,522.75 is: 250,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,310.25 : 114,522.75 = 114,522.75 : x
  2. Step 2: Convert to fraction form
    52,310.25/114,522.75 = 114,522.75/x
  3. Step 3: Cross multiply
    52,310.25x = 114,522.75 × 114,522.75
  4. Step 4: Simplify right side
    52,310.25x = 13,115,460,267.56
  5. Step 5: Solve for x
    x = 13,115,460,267.56/52,310.25
  6. Step 6: Final answer
    x = 250,724.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.