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Finding the Third Proportional to 64,437.50 and 139,945

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Solution

The third proportional to 64,437.50 and 139,945 is: 303,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,437.50 : 139,945 = 139,945 : x
  2. Step 2: Convert to fraction form
    64,437.50/139,945 = 139,945/x
  3. Step 3: Cross multiply
    64,437.50x = 139,945 × 139,945
  4. Step 4: Simplify right side
    64,437.50x = 19,584,603,025
  5. Step 5: Solve for x
    x = 19,584,603,025/64,437.50
  6. Step 6: Final answer
    x = 303,931.76

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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.