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Finding the Third Proportional to 65,238 and 143,964

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Solution

The third proportional to 65,238 and 143,964 is: 317,692.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,238 : 143,964 = 143,964 : x
  2. Step 2: Convert to fraction form
    65,238/143,964 = 143,964/x
  3. Step 3: Cross multiply
    65,238x = 143,964 × 143,964
  4. Step 4: Simplify right side
    65,238x = 20,725,633,296
  5. Step 5: Solve for x
    x = 20,725,633,296/65,238
  6. Step 6: Final answer
    x = 317,692.65

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.