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Finding the Third Proportional to 53,031 and 115,530

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Solution

The third proportional to 53,031 and 115,530 is: 251,686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,031 : 115,530 = 115,530 : x
  2. Step 2: Convert to fraction form
    53,031/115,530 = 115,530/x
  3. Step 3: Cross multiply
    53,031x = 115,530 × 115,530
  4. Step 4: Simplify right side
    53,031x = 13,347,180,900
  5. Step 5: Solve for x
    x = 13,347,180,900/53,031
  6. Step 6: Final answer
    x = 251,686.39

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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.