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Finding the Third Proportional to 64,967 and 146,736.50

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Solution

The third proportional to 64,967 and 146,736.50 is: 331,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,967 : 146,736.50 = 146,736.50 : x
  2. Step 2: Convert to fraction form
    64,967/146,736.50 = 146,736.50/x
  3. Step 3: Cross multiply
    64,967x = 146,736.50 × 146,736.50
  4. Step 4: Simplify right side
    64,967x = 21,531,600,432.25
  5. Step 5: Solve for x
    x = 21,531,600,432.25/64,967
  6. Step 6: Final answer
    x = 331,423.65

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.