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Finding the Third Proportional to 78,774 and 121,081

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Solution

The third proportional to 78,774 and 121,081 is: 186,109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,774 : 121,081 = 121,081 : x
  2. Step 2: Convert to fraction form
    78,774/121,081 = 121,081/x
  3. Step 3: Cross multiply
    78,774x = 121,081 × 121,081
  4. Step 4: Simplify right side
    78,774x = 14,660,608,561
  5. Step 5: Solve for x
    x = 14,660,608,561/78,774
  6. Step 6: Final answer
    x = 186,109.74

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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.