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Finding the Third Proportional to 53,864 and 114,640

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Solution

The third proportional to 53,864 and 114,640 is: 243,990.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,864 : 114,640 = 114,640 : x
  2. Step 2: Convert to fraction form
    53,864/114,640 = 114,640/x
  3. Step 3: Cross multiply
    53,864x = 114,640 × 114,640
  4. Step 4: Simplify right side
    53,864x = 13,142,329,600
  5. Step 5: Solve for x
    x = 13,142,329,600/53,864
  6. Step 6: Final answer
    x = 243,990.97

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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.