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Finding the Third Proportional to 48,969 and 105,318

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Solution

The third proportional to 48,969 and 105,318 is: 226,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,969 : 105,318 = 105,318 : x
  2. Step 2: Convert to fraction form
    48,969/105,318 = 105,318/x
  3. Step 3: Cross multiply
    48,969x = 105,318 × 105,318
  4. Step 4: Simplify right side
    48,969x = 11,091,881,124
  5. Step 5: Solve for x
    x = 11,091,881,124/48,969
  6. Step 6: Final answer
    x = 226,508.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.