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Finding the Third Proportional to 64,836.75 and 139,674.75

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Solution

The third proportional to 64,836.75 and 139,674.75 is: 300,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,836.75 : 139,674.75 = 139,674.75 : x
  2. Step 2: Convert to fraction form
    64,836.75/139,674.75 = 139,674.75/x
  3. Step 3: Cross multiply
    64,836.75x = 139,674.75 × 139,674.75
  4. Step 4: Simplify right side
    64,836.75x = 19,509,035,787.56
  5. Step 5: Solve for x
    x = 19,509,035,787.56/64,836.75
  6. Step 6: Final answer
    x = 300,894.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.