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Finding the Third Proportional to 64,080.50 and 137,647

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Solution

The third proportional to 64,080.50 and 137,647 is: 295,670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,080.50 : 137,647 = 137,647 : x
  2. Step 2: Convert to fraction form
    64,080.50/137,647 = 137,647/x
  3. Step 3: Cross multiply
    64,080.50x = 137,647 × 137,647
  4. Step 4: Simplify right side
    64,080.50x = 18,946,696,609
  5. Step 5: Solve for x
    x = 18,946,696,609/64,080.50
  6. Step 6: Final answer
    x = 295,670.24

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