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Finding the Third Proportional to 53,644 and 116,249

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Solution

The third proportional to 53,644 and 116,249 is: 251,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,644 : 116,249 = 116,249 : x
  2. Step 2: Convert to fraction form
    53,644/116,249 = 116,249/x
  3. Step 3: Cross multiply
    53,644x = 116,249 × 116,249
  4. Step 4: Simplify right side
    53,644x = 13,513,830,001
  5. Step 5: Solve for x
    x = 13,513,830,001/53,644
  6. Step 6: Final answer
    x = 251,916.90

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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.