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Finding the Third Proportional to 52,071 and 107,834.25

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Solution

The third proportional to 52,071 and 107,834.25 is: 223,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,071 : 107,834.25 = 107,834.25 : x
  2. Step 2: Convert to fraction form
    52,071/107,834.25 = 107,834.25/x
  3. Step 3: Cross multiply
    52,071x = 107,834.25 × 107,834.25
  4. Step 4: Simplify right side
    52,071x = 11,628,225,473.06
  5. Step 5: Solve for x
    x = 11,628,225,473.06/52,071
  6. Step 6: Final answer
    x = 223,314.81

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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.