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Finding the Third Proportional to 48,955.50 and 105,687

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Solution

The third proportional to 48,955.50 and 105,687 is: 228,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,955.50 : 105,687 = 105,687 : x
  2. Step 2: Convert to fraction form
    48,955.50/105,687 = 105,687/x
  3. Step 3: Cross multiply
    48,955.50x = 105,687 × 105,687
  4. Step 4: Simplify right side
    48,955.50x = 11,169,741,969
  5. Step 5: Solve for x
    x = 11,169,741,969/48,955.50
  6. Step 6: Final answer
    x = 228,161.13

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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.