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Finding the Third Proportional to 53,640 and 80,100

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Solution

The third proportional to 53,640 and 80,100 is: 119,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,640 : 80,100 = 80,100 : x
  2. Step 2: Convert to fraction form
    53,640/80,100 = 80,100/x
  3. Step 3: Cross multiply
    53,640x = 80,100 × 80,100
  4. Step 4: Simplify right side
    53,640x = 6,416,010,000
  5. Step 5: Solve for x
    x = 6,416,010,000/53,640
  6. Step 6: Final answer
    x = 119,612.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.