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Finding the Third Proportional to 83,954 and 124,851

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Solution

The third proportional to 83,954 and 124,851 is: 185,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,954 : 124,851 = 124,851 : x
  2. Step 2: Convert to fraction form
    83,954/124,851 = 124,851/x
  3. Step 3: Cross multiply
    83,954x = 124,851 × 124,851
  4. Step 4: Simplify right side
    83,954x = 15,587,772,201
  5. Step 5: Solve for x
    x = 15,587,772,201/83,954
  6. Step 6: Final answer
    x = 185,670.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.