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Finding the Third Proportional to 79,456 and 117,809.63

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Solution

The third proportional to 79,456 and 117,809.63 is: 174,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,456 : 117,809.63 = 117,809.63 : x
  2. Step 2: Convert to fraction form
    79,456/117,809.63 = 117,809.63/x
  3. Step 3: Cross multiply
    79,456x = 117,809.63 × 117,809.63
  4. Step 4: Simplify right side
    79,456x = 13,879,107,742.64
  5. Step 5: Solve for x
    x = 13,879,107,742.64/79,456
  6. Step 6: Final answer
    x = 174,676.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.