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Finding the Third Proportional to 54,340 and 83,622

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Solution

The third proportional to 54,340 and 83,622 is: 128,683.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,340 : 83,622 = 83,622 : x
  2. Step 2: Convert to fraction form
    54,340/83,622 = 83,622/x
  3. Step 3: Cross multiply
    54,340x = 83,622 × 83,622
  4. Step 4: Simplify right side
    54,340x = 6,992,638,884
  5. Step 5: Solve for x
    x = 6,992,638,884/54,340
  6. Step 6: Final answer
    x = 128,683.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.