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Finding the Third Proportional to 70,236 and 124,896

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Solution

The third proportional to 70,236 and 124,896 is: 222,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,236 : 124,896 = 124,896 : x
  2. Step 2: Convert to fraction form
    70,236/124,896 = 124,896/x
  3. Step 3: Cross multiply
    70,236x = 124,896 × 124,896
  4. Step 4: Simplify right side
    70,236x = 15,599,010,816
  5. Step 5: Solve for x
    x = 15,599,010,816/70,236
  6. Step 6: Final answer
    x = 222,094.24

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.