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Finding the Third Proportional to 48,236 and 102,516

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Solution

The third proportional to 48,236 and 102,516 is: 217,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,236 : 102,516 = 102,516 : x
  2. Step 2: Convert to fraction form
    48,236/102,516 = 102,516/x
  3. Step 3: Cross multiply
    48,236x = 102,516 × 102,516
  4. Step 4: Simplify right side
    48,236x = 10,509,530,256
  5. Step 5: Solve for x
    x = 10,509,530,256/48,236
  6. Step 6: Final answer
    x = 217,877.32

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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.