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Finding the Third Proportional to 65,229 and 139,935

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Solution

The third proportional to 65,229 and 139,935 is: 300,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,229 : 139,935 = 139,935 : x
  2. Step 2: Convert to fraction form
    65,229/139,935 = 139,935/x
  3. Step 3: Cross multiply
    65,229x = 139,935 × 139,935
  4. Step 4: Simplify right side
    65,229x = 19,581,804,225
  5. Step 5: Solve for x
    x = 19,581,804,225/65,229
  6. Step 6: Final answer
    x = 300,200.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.