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Finding the Third Proportional to 65,245 and 139,035.50

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Solution

The third proportional to 65,245 and 139,035.50 is: 296,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,245 : 139,035.50 = 139,035.50 : x
  2. Step 2: Convert to fraction form
    65,245/139,035.50 = 139,035.50/x
  3. Step 3: Cross multiply
    65,245x = 139,035.50 × 139,035.50
  4. Step 4: Simplify right side
    65,245x = 19,330,870,260.25
  5. Step 5: Solve for x
    x = 19,330,870,260.25/65,245
  6. Step 6: Final answer
    x = 296,281.25

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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.