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Finding the Third Proportional to 52,518.38 and 115,288.31

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Solution

The third proportional to 52,518.38 and 115,288.31 is: 253,080.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,518.38 : 115,288.31 = 115,288.31 : x
  2. Step 2: Convert to fraction form
    52,518.38/115,288.31 = 115,288.31/x
  3. Step 3: Cross multiply
    52,518.38x = 115,288.31 × 115,288.31
  4. Step 4: Simplify right side
    52,518.38x = 13,291,394,999.10
  5. Step 5: Solve for x
    x = 13,291,394,999.10/52,518.38
  6. Step 6: Final answer
    x = 253,080.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.