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Finding the Third Proportional to 53,115 and 116,031

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Solution

The third proportional to 53,115 and 116,031 is: 253,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,115 : 116,031 = 116,031 : x
  2. Step 2: Convert to fraction form
    53,115/116,031 = 116,031/x
  3. Step 3: Cross multiply
    53,115x = 116,031 × 116,031
  4. Step 4: Simplify right side
    53,115x = 13,463,192,961
  5. Step 5: Solve for x
    x = 13,463,192,961/53,115
  6. Step 6: Final answer
    x = 253,472.52

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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.