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Finding the Third Proportional to 60,322 and 86,595

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Solution

The third proportional to 60,322 and 86,595 is: 124,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,322 : 86,595 = 86,595 : x
  2. Step 2: Convert to fraction form
    60,322/86,595 = 86,595/x
  3. Step 3: Cross multiply
    60,322x = 86,595 × 86,595
  4. Step 4: Simplify right side
    60,322x = 7,498,694,025
  5. Step 5: Solve for x
    x = 7,498,694,025/60,322
  6. Step 6: Final answer
    x = 124,311.10

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.