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Finding the Third Proportional to 54,340 and 112,064

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Solution

The third proportional to 54,340 and 112,064 is: 231,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,340 : 112,064 = 112,064 : x
  2. Step 2: Convert to fraction form
    54,340/112,064 = 112,064/x
  3. Step 3: Cross multiply
    54,340x = 112,064 × 112,064
  4. Step 4: Simplify right side
    54,340x = 12,558,340,096
  5. Step 5: Solve for x
    x = 12,558,340,096/54,340
  6. Step 6: Final answer
    x = 231,106.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.