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Finding the Third Proportional to 66,994 and 139,501

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Solution

The third proportional to 66,994 and 139,501 is: 290,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,994 : 139,501 = 139,501 : x
  2. Step 2: Convert to fraction form
    66,994/139,501 = 139,501/x
  3. Step 3: Cross multiply
    66,994x = 139,501 × 139,501
  4. Step 4: Simplify right side
    66,994x = 19,460,529,001
  5. Step 5: Solve for x
    x = 19,460,529,001/66,994
  6. Step 6: Final answer
    x = 290,481.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.