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Finding the Third Proportional to 52,033.13 and 107,758.50

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Solution

The third proportional to 52,033.13 and 107,758.50 is: 223,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,033.13 : 107,758.50 = 107,758.50 : x
  2. Step 2: Convert to fraction form
    52,033.13/107,758.50 = 107,758.50/x
  3. Step 3: Cross multiply
    52,033.13x = 107,758.50 × 107,758.50
  4. Step 4: Simplify right side
    52,033.13x = 11,611,894,322.25
  5. Step 5: Solve for x
    x = 11,611,894,322.25/52,033.13
  6. Step 6: Final answer
    x = 223,163.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.