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Finding the Third Proportional to 53,738 and 95,536

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Solution

The third proportional to 53,738 and 95,536 is: 169,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,738 : 95,536 = 95,536 : x
  2. Step 2: Convert to fraction form
    53,738/95,536 = 95,536/x
  3. Step 3: Cross multiply
    53,738x = 95,536 × 95,536
  4. Step 4: Simplify right side
    53,738x = 9,127,127,296
  5. Step 5: Solve for x
    x = 9,127,127,296/53,738
  6. Step 6: Final answer
    x = 169,844.94

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.