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Finding the Third Proportional to 53,853.38 and 113,217.75

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Solution

The third proportional to 53,853.38 and 113,217.75 is: 238,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,853.38 : 113,217.75 = 113,217.75 : x
  2. Step 2: Convert to fraction form
    53,853.38/113,217.75 = 113,217.75/x
  3. Step 3: Cross multiply
    53,853.38x = 113,217.75 × 113,217.75
  4. Step 4: Simplify right side
    53,853.38x = 12,818,258,915.06
  5. Step 5: Solve for x
    x = 12,818,258,915.06/53,853.38
  6. Step 6: Final answer
    x = 238,021.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.