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Finding the Third Proportional to 53,644 and 114,218

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Solution

The third proportional to 53,644 and 114,218 is: 243,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,644 : 114,218 = 114,218 : x
  2. Step 2: Convert to fraction form
    53,644/114,218 = 114,218/x
  3. Step 3: Cross multiply
    53,644x = 114,218 × 114,218
  4. Step 4: Simplify right side
    53,644x = 13,045,751,524
  5. Step 5: Solve for x
    x = 13,045,751,524/53,644
  6. Step 6: Final answer
    x = 243,191.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.