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Finding the Third Proportional to 61,209 and 116,879.63

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Solution

The third proportional to 61,209 and 116,879.63 is: 223,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,209 : 116,879.63 = 116,879.63 : x
  2. Step 2: Convert to fraction form
    61,209/116,879.63 = 116,879.63/x
  3. Step 3: Cross multiply
    61,209x = 116,879.63 × 116,879.63
  4. Step 4: Simplify right side
    61,209x = 13,660,846,740.14
  5. Step 5: Solve for x
    x = 13,660,846,740.14/61,209
  6. Step 6: Final answer
    x = 223,183.63

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.