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Finding the Third Proportional to 84,118 and 124,962

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Solution

The third proportional to 84,118 and 124,962 is: 185,638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,118 : 124,962 = 124,962 : x
  2. Step 2: Convert to fraction form
    84,118/124,962 = 124,962/x
  3. Step 3: Cross multiply
    84,118x = 124,962 × 124,962
  4. Step 4: Simplify right side
    84,118x = 15,615,501,444
  5. Step 5: Solve for x
    x = 15,615,501,444/84,118
  6. Step 6: Final answer
    x = 185,638.05

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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.