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Finding the Third Proportional to 64,969 and 139,964

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Solution

The third proportional to 64,969 and 139,964 is: 301,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,969 : 139,964 = 139,964 : x
  2. Step 2: Convert to fraction form
    64,969/139,964 = 139,964/x
  3. Step 3: Cross multiply
    64,969x = 139,964 × 139,964
  4. Step 4: Simplify right side
    64,969x = 19,589,921,296
  5. Step 5: Solve for x
    x = 19,589,921,296/64,969
  6. Step 6: Final answer
    x = 301,527.21

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Why These Related Problems?

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