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Finding the Third Proportional to 65,069 and 95,552

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Solution

The third proportional to 65,069 and 95,552 is: 140,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,069 : 95,552 = 95,552 : x
  2. Step 2: Convert to fraction form
    65,069/95,552 = 95,552/x
  3. Step 3: Cross multiply
    65,069x = 95,552 × 95,552
  4. Step 4: Simplify right side
    65,069x = 9,130,184,704
  5. Step 5: Solve for x
    x = 9,130,184,704/65,069
  6. Step 6: Final answer
    x = 140,315.43

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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.