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Finding the Third Proportional to 53,666 and 117,904

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Solution

The third proportional to 53,666 and 117,904 is: 259,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,666 : 117,904 = 117,904 : x
  2. Step 2: Convert to fraction form
    53,666/117,904 = 117,904/x
  3. Step 3: Cross multiply
    53,666x = 117,904 × 117,904
  4. Step 4: Simplify right side
    53,666x = 13,901,353,216
  5. Step 5: Solve for x
    x = 13,901,353,216/53,666
  6. Step 6: Final answer
    x = 259,034.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.