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Finding the Third Proportional to 65,247 and 139,034.50

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Solution

The third proportional to 65,247 and 139,034.50 is: 296,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,247 : 139,034.50 = 139,034.50 : x
  2. Step 2: Convert to fraction form
    65,247/139,034.50 = 139,034.50/x
  3. Step 3: Cross multiply
    65,247x = 139,034.50 × 139,034.50
  4. Step 4: Simplify right side
    65,247x = 19,330,592,190.25
  5. Step 5: Solve for x
    x = 19,330,592,190.25/65,247
  6. Step 6: Final answer
    x = 296,267.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.