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Finding the Third Proportional to 84,638 and 124,338

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Solution

The third proportional to 84,638 and 124,338 is: 182,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,638 : 124,338 = 124,338 : x
  2. Step 2: Convert to fraction form
    84,638/124,338 = 124,338/x
  3. Step 3: Cross multiply
    84,638x = 124,338 × 124,338
  4. Step 4: Simplify right side
    84,638x = 15,459,938,244
  5. Step 5: Solve for x
    x = 15,459,938,244/84,638
  6. Step 6: Final answer
    x = 182,659.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.