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Finding the Third Proportional to 80,465.25 and 121,733.25

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Solution

The third proportional to 80,465.25 and 121,733.25 is: 184,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,465.25 : 121,733.25 = 121,733.25 : x
  2. Step 2: Convert to fraction form
    80,465.25/121,733.25 = 121,733.25/x
  3. Step 3: Cross multiply
    80,465.25x = 121,733.25 × 121,733.25
  4. Step 4: Simplify right side
    80,465.25x = 14,818,984,155.56
  5. Step 5: Solve for x
    x = 14,818,984,155.56/80,465.25
  6. Step 6: Final answer
    x = 184,166.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.