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Finding the Third Proportional to 52,090 and 107,873

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Solution

The third proportional to 52,090 and 107,873 is: 223,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090 : 107,873 = 107,873 : x
  2. Step 2: Convert to fraction form
    52,090/107,873 = 107,873/x
  3. Step 3: Cross multiply
    52,090x = 107,873 × 107,873
  4. Step 4: Simplify right side
    52,090x = 11,636,584,129
  5. Step 5: Solve for x
    x = 11,636,584,129/52,090
  6. Step 6: Final answer
    x = 223,393.82

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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.