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Finding the Third Proportional to 79,104 and 121,008

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Solution

The third proportional to 79,104 and 121,008 is: 185,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,104 : 121,008 = 121,008 : x
  2. Step 2: Convert to fraction form
    79,104/121,008 = 121,008/x
  3. Step 3: Cross multiply
    79,104x = 121,008 × 121,008
  4. Step 4: Simplify right side
    79,104x = 14,642,936,064
  5. Step 5: Solve for x
    x = 14,642,936,064/79,104
  6. Step 6: Final answer
    x = 185,109.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.