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Finding the Third Proportional to 52,503.75 and 115,214.06

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Solution

The third proportional to 52,503.75 and 115,214.06 is: 252,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,503.75 : 115,214.06 = 115,214.06 : x
  2. Step 2: Convert to fraction form
    52,503.75/115,214.06 = 115,214.06/x
  3. Step 3: Cross multiply
    52,503.75x = 115,214.06 × 115,214.06
  4. Step 4: Simplify right side
    52,503.75x = 13,274,280,197.75
  5. Step 5: Solve for x
    x = 13,274,280,197.75/52,503.75
  6. Step 6: Final answer
    x = 252,825.37

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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.