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Finding the Third Proportional to 53,670 and 117,964

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Solution

The third proportional to 53,670 and 117,964 is: 259,279.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,670 : 117,964 = 117,964 : x
  2. Step 2: Convert to fraction form
    53,670/117,964 = 117,964/x
  3. Step 3: Cross multiply
    53,670x = 117,964 × 117,964
  4. Step 4: Simplify right side
    53,670x = 13,915,505,296
  5. Step 5: Solve for x
    x = 13,915,505,296/53,670
  6. Step 6: Final answer
    x = 259,279.03

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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.