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Finding the Third Proportional to 64,935 and 82,974

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Solution

The third proportional to 64,935 and 82,974 is: 106,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,935 : 82,974 = 82,974 : x
  2. Step 2: Convert to fraction form
    64,935/82,974 = 82,974/x
  3. Step 3: Cross multiply
    64,935x = 82,974 × 82,974
  4. Step 4: Simplify right side
    64,935x = 6,884,684,676
  5. Step 5: Solve for x
    x = 6,884,684,676/64,935
  6. Step 6: Final answer
    x = 106,024.25

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.