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Finding the Third Proportional to 48,753 and 105,837.75

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Solution

The third proportional to 48,753 and 105,837.75 is: 229,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,753 : 105,837.75 = 105,837.75 : x
  2. Step 2: Convert to fraction form
    48,753/105,837.75 = 105,837.75/x
  3. Step 3: Cross multiply
    48,753x = 105,837.75 × 105,837.75
  4. Step 4: Simplify right side
    48,753x = 11,201,629,325.06
  5. Step 5: Solve for x
    x = 11,201,629,325.06/48,753
  6. Step 6: Final answer
    x = 229,762.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.