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Finding the Third Proportional to 48,116 and 105,808

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Solution

The third proportional to 48,116 and 105,808 is: 232,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,116 : 105,808 = 105,808 : x
  2. Step 2: Convert to fraction form
    48,116/105,808 = 105,808/x
  3. Step 3: Cross multiply
    48,116x = 105,808 × 105,808
  4. Step 4: Simplify right side
    48,116x = 11,195,332,864
  5. Step 5: Solve for x
    x = 11,195,332,864/48,116
  6. Step 6: Final answer
    x = 232,673.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.