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Finding the Third Proportional to 52,683.75 and 80,109

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Solution

The third proportional to 52,683.75 and 80,109 is: 121,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,683.75 : 80,109 = 80,109 : x
  2. Step 2: Convert to fraction form
    52,683.75/80,109 = 80,109/x
  3. Step 3: Cross multiply
    52,683.75x = 80,109 × 80,109
  4. Step 4: Simplify right side
    52,683.75x = 6,417,451,881
  5. Step 5: Solve for x
    x = 6,417,451,881/52,683.75
  6. Step 6: Final answer
    x = 121,810.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.