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Finding the Third Proportional to 64,194 and 143,145

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Solution

The third proportional to 64,194 and 143,145 is: 319,196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,194 : 143,145 = 143,145 : x
  2. Step 2: Convert to fraction form
    64,194/143,145 = 143,145/x
  3. Step 3: Cross multiply
    64,194x = 143,145 × 143,145
  4. Step 4: Simplify right side
    64,194x = 20,490,491,025
  5. Step 5: Solve for x
    x = 20,490,491,025/64,194
  6. Step 6: Final answer
    x = 319,196.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.