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Finding the Third Proportional to 48,912 and 105,600

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Solution

The third proportional to 48,912 and 105,600 is: 227,988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,912 : 105,600 = 105,600 : x
  2. Step 2: Convert to fraction form
    48,912/105,600 = 105,600/x
  3. Step 3: Cross multiply
    48,912x = 105,600 × 105,600
  4. Step 4: Simplify right side
    48,912x = 11,151,360,000
  5. Step 5: Solve for x
    x = 11,151,360,000/48,912
  6. Step 6: Final answer
    x = 227,988.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.