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Finding the Third Proportional to 65,069 and 95,551

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Solution

The third proportional to 65,069 and 95,551 is: 140,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,069 : 95,551 = 95,551 : x
  2. Step 2: Convert to fraction form
    65,069/95,551 = 95,551/x
  3. Step 3: Cross multiply
    65,069x = 95,551 × 95,551
  4. Step 4: Simplify right side
    65,069x = 9,129,993,601
  5. Step 5: Solve for x
    x = 9,129,993,601/65,069
  6. Step 6: Final answer
    x = 140,312.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.