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Finding the Third Proportional to 48,667.50 and 105,111

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Solution

The third proportional to 48,667.50 and 105,111 is: 227,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,667.50 : 105,111 = 105,111 : x
  2. Step 2: Convert to fraction form
    48,667.50/105,111 = 105,111/x
  3. Step 3: Cross multiply
    48,667.50x = 105,111 × 105,111
  4. Step 4: Simplify right side
    48,667.50x = 11,048,322,321
  5. Step 5: Solve for x
    x = 11,048,322,321/48,667.50
  6. Step 6: Final answer
    x = 227,016.43

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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.