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Finding the Third Proportional to 52,520.25 and 115,244.25

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Solution

The third proportional to 52,520.25 and 115,244.25 is: 252,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,520.25 : 115,244.25 = 115,244.25 : x
  2. Step 2: Convert to fraction form
    52,520.25/115,244.25 = 115,244.25/x
  3. Step 3: Cross multiply
    52,520.25x = 115,244.25 × 115,244.25
  4. Step 4: Simplify right side
    52,520.25x = 13,281,237,158.06
  5. Step 5: Solve for x
    x = 13,281,237,158.06/52,520.25
  6. Step 6: Final answer
    x = 252,878.41

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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.