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Finding the Third Proportional to 48,064 and 103,064

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Solution

The third proportional to 48,064 and 103,064 is: 221,000.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,064 : 103,064 = 103,064 : x
  2. Step 2: Convert to fraction form
    48,064/103,064 = 103,064/x
  3. Step 3: Cross multiply
    48,064x = 103,064 × 103,064
  4. Step 4: Simplify right side
    48,064x = 10,622,188,096
  5. Step 5: Solve for x
    x = 10,622,188,096/48,064
  6. Step 6: Final answer
    x = 221,000.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.