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Finding the Third Proportional to 53,971.31 and 117,768.94

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Solution

The third proportional to 53,971.31 and 117,768.94 is: 256,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,971.31 : 117,768.94 = 117,768.94 : x
  2. Step 2: Convert to fraction form
    53,971.31/117,768.94 = 117,768.94/x
  3. Step 3: Cross multiply
    53,971.31x = 117,768.94 × 117,768.94
  4. Step 4: Simplify right side
    53,971.31x = 13,869,522,639.88
  5. Step 5: Solve for x
    x = 13,869,522,639.88/53,971.31
  6. Step 6: Final answer
    x = 256,979.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.