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Finding the Third Proportional to 54,146 and 80,152

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Solution

The third proportional to 54,146 and 80,152 is: 118,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,146 : 80,152 = 80,152 : x
  2. Step 2: Convert to fraction form
    54,146/80,152 = 80,152/x
  3. Step 3: Cross multiply
    54,146x = 80,152 × 80,152
  4. Step 4: Simplify right side
    54,146x = 6,424,343,104
  5. Step 5: Solve for x
    x = 6,424,343,104/54,146
  6. Step 6: Final answer
    x = 118,648.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.