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Finding the Third Proportional to 48,064 and 104,236

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Solution

The third proportional to 48,064 and 104,236 is: 226,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,064 : 104,236 = 104,236 : x
  2. Step 2: Convert to fraction form
    48,064/104,236 = 104,236/x
  3. Step 3: Cross multiply
    48,064x = 104,236 × 104,236
  4. Step 4: Simplify right side
    48,064x = 10,865,143,696
  5. Step 5: Solve for x
    x = 10,865,143,696/48,064
  6. Step 6: Final answer
    x = 226,055.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.