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Finding the Third Proportional to 52,536.75 and 114,004.13

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Solution

The third proportional to 52,536.75 and 114,004.13 is: 247,387.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,536.75 : 114,004.13 = 114,004.13 : x
  2. Step 2: Convert to fraction form
    52,536.75/114,004.13 = 114,004.13/x
  3. Step 3: Cross multiply
    52,536.75x = 114,004.13 × 114,004.13
  4. Step 4: Simplify right side
    52,536.75x = 12,996,940,517.02
  5. Step 5: Solve for x
    x = 12,996,940,517.02/52,536.75
  6. Step 6: Final answer
    x = 247,387.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.