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Finding the Third Proportional to 64,019 and 84,951

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Solution

The third proportional to 64,019 and 84,951 is: 112,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,019 : 84,951 = 84,951 : x
  2. Step 2: Convert to fraction form
    64,019/84,951 = 84,951/x
  3. Step 3: Cross multiply
    64,019x = 84,951 × 84,951
  4. Step 4: Simplify right side
    64,019x = 7,216,672,401
  5. Step 5: Solve for x
    x = 7,216,672,401/64,019
  6. Step 6: Final answer
    x = 112,727.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.