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Finding the Third Proportional to 92,814 and 138,873

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Solution

The third proportional to 92,814 and 138,873 is: 207,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,814 : 138,873 = 138,873 : x
  2. Step 2: Convert to fraction form
    92,814/138,873 = 138,873/x
  3. Step 3: Cross multiply
    92,814x = 138,873 × 138,873
  4. Step 4: Simplify right side
    92,814x = 19,285,710,129
  5. Step 5: Solve for x
    x = 19,285,710,129/92,814
  6. Step 6: Final answer
    x = 207,788.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.