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Finding the Third Proportional to 52,072 and 107,835

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Solution

The third proportional to 52,072 and 107,835 is: 223,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,072 : 107,835 = 107,835 : x
  2. Step 2: Convert to fraction form
    52,072/107,835 = 107,835/x
  3. Step 3: Cross multiply
    52,072x = 107,835 × 107,835
  4. Step 4: Simplify right side
    52,072x = 11,628,387,225
  5. Step 5: Solve for x
    x = 11,628,387,225/52,072
  6. Step 6: Final answer
    x = 223,313.63

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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.