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Finding the Third Proportional to 86,994 and 138,267

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Solution

The third proportional to 86,994 and 138,267 is: 219,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,994 : 138,267 = 138,267 : x
  2. Step 2: Convert to fraction form
    86,994/138,267 = 138,267/x
  3. Step 3: Cross multiply
    86,994x = 138,267 × 138,267
  4. Step 4: Simplify right side
    86,994x = 19,117,763,289
  5. Step 5: Solve for x
    x = 19,117,763,289/86,994
  6. Step 6: Final answer
    x = 219,759.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.