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Finding the Third Proportional to 54,046 and 80,852

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Solution

The third proportional to 54,046 and 80,852 is: 120,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,046 : 80,852 = 80,852 : x
  2. Step 2: Convert to fraction form
    54,046/80,852 = 80,852/x
  3. Step 3: Cross multiply
    54,046x = 80,852 × 80,852
  4. Step 4: Simplify right side
    54,046x = 6,537,045,904
  5. Step 5: Solve for x
    x = 6,537,045,904/54,046
  6. Step 6: Final answer
    x = 120,953.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.