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Finding the Third Proportional to 48,224 and 102,820

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Solution

The third proportional to 48,224 and 102,820 is: 219,225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,224 : 102,820 = 102,820 : x
  2. Step 2: Convert to fraction form
    48,224/102,820 = 102,820/x
  3. Step 3: Cross multiply
    48,224x = 102,820 × 102,820
  4. Step 4: Simplify right side
    48,224x = 10,571,952,400
  5. Step 5: Solve for x
    x = 10,571,952,400/48,224
  6. Step 6: Final answer
    x = 219,225.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.