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Finding the Third Proportional to 53,930 and 115,666

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Solution

The third proportional to 53,930 and 115,666 is: 248,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,930 : 115,666 = 115,666 : x
  2. Step 2: Convert to fraction form
    53,930/115,666 = 115,666/x
  3. Step 3: Cross multiply
    53,930x = 115,666 × 115,666
  4. Step 4: Simplify right side
    53,930x = 13,378,623,556
  5. Step 5: Solve for x
    x = 13,378,623,556/53,930
  6. Step 6: Final answer
    x = 248,073.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.