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Finding the Third Proportional to 78,771 and 121,077

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Solution

The third proportional to 78,771 and 121,077 is: 186,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,771 : 121,077 = 121,077 : x
  2. Step 2: Convert to fraction form
    78,771/121,077 = 121,077/x
  3. Step 3: Cross multiply
    78,771x = 121,077 × 121,077
  4. Step 4: Simplify right side
    78,771x = 14,659,639,929
  5. Step 5: Solve for x
    x = 14,659,639,929/78,771
  6. Step 6: Final answer
    x = 186,104.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.