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Finding the Third Proportional to 52,498.13 and 115,202.25

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Solution

The third proportional to 52,498.13 and 115,202.25 is: 252,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,498.13 : 115,202.25 = 115,202.25 : x
  2. Step 2: Convert to fraction form
    52,498.13/115,202.25 = 115,202.25/x
  3. Step 3: Cross multiply
    52,498.13x = 115,202.25 × 115,202.25
  4. Step 4: Simplify right side
    52,498.13x = 13,271,558,405.06
  5. Step 5: Solve for x
    x = 13,271,558,405.06/52,498.13
  6. Step 6: Final answer
    x = 252,800.62

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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.