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Finding the Third Proportional to 36,955 and 78,322

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Solution

The third proportional to 36,955 and 78,322 is: 165,994.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,955 : 78,322 = 78,322 : x
  2. Step 2: Convert to fraction form
    36,955/78,322 = 78,322/x
  3. Step 3: Cross multiply
    36,955x = 78,322 × 78,322
  4. Step 4: Simplify right side
    36,955x = 6,134,335,684
  5. Step 5: Solve for x
    x = 6,134,335,684/36,955
  6. Step 6: Final answer
    x = 165,994.74

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.