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Finding the Third Proportional to 64,309.50 and 139,311

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Solution

The third proportional to 64,309.50 and 139,311 is: 301,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,309.50 : 139,311 = 139,311 : x
  2. Step 2: Convert to fraction form
    64,309.50/139,311 = 139,311/x
  3. Step 3: Cross multiply
    64,309.50x = 139,311 × 139,311
  4. Step 4: Simplify right side
    64,309.50x = 19,407,554,721
  5. Step 5: Solve for x
    x = 19,407,554,721/64,309.50
  6. Step 6: Final answer
    x = 301,783.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.