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Finding the Third Proportional to 64,635 and 139,647.75

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Solution

The third proportional to 64,635 and 139,647.75 is: 301,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,635 : 139,647.75 = 139,647.75 : x
  2. Step 2: Convert to fraction form
    64,635/139,647.75 = 139,647.75/x
  3. Step 3: Cross multiply
    64,635x = 139,647.75 × 139,647.75
  4. Step 4: Simplify right side
    64,635x = 19,501,494,080.06
  5. Step 5: Solve for x
    x = 19,501,494,080.06/64,635
  6. Step 6: Final answer
    x = 301,717.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.