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Finding the Third Proportional to 48,696.75 and 101,288.25

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Solution

The third proportional to 48,696.75 and 101,288.25 is: 210,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696.75 : 101,288.25 = 101,288.25 : x
  2. Step 2: Convert to fraction form
    48,696.75/101,288.25 = 101,288.25/x
  3. Step 3: Cross multiply
    48,696.75x = 101,288.25 × 101,288.25
  4. Step 4: Simplify right side
    48,696.75x = 10,259,309,588.06
  5. Step 5: Solve for x
    x = 10,259,309,588.06/48,696.75
  6. Step 6: Final answer
    x = 210,677.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.