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Finding the Third Proportional to 48,224 and 76,714

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Solution

The third proportional to 48,224 and 76,714 is: 122,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,224 : 76,714 = 76,714 : x
  2. Step 2: Convert to fraction form
    48,224/76,714 = 76,714/x
  3. Step 3: Cross multiply
    48,224x = 76,714 × 76,714
  4. Step 4: Simplify right side
    48,224x = 5,885,037,796
  5. Step 5: Solve for x
    x = 5,885,037,796/48,224
  6. Step 6: Final answer
    x = 122,035.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.