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Finding the Third Proportional to 52,644 and 114,036

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Solution

The third proportional to 52,644 and 114,036 is: 247,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,644 : 114,036 = 114,036 : x
  2. Step 2: Convert to fraction form
    52,644/114,036 = 114,036/x
  3. Step 3: Cross multiply
    52,644x = 114,036 × 114,036
  4. Step 4: Simplify right side
    52,644x = 13,004,209,296
  5. Step 5: Solve for x
    x = 13,004,209,296/52,644
  6. Step 6: Final answer
    x = 247,021.68

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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.