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Finding the Third Proportional to 64,682.50 and 139,571

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Solution

The third proportional to 64,682.50 and 139,571 is: 301,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,682.50 : 139,571 = 139,571 : x
  2. Step 2: Convert to fraction form
    64,682.50/139,571 = 139,571/x
  3. Step 3: Cross multiply
    64,682.50x = 139,571 × 139,571
  4. Step 4: Simplify right side
    64,682.50x = 19,480,064,041
  5. Step 5: Solve for x
    x = 19,480,064,041/64,682.50
  6. Step 6: Final answer
    x = 301,164.37

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Why These Related Problems?

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