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Finding the Third Proportional to 84,328 and 128,219

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Solution

The third proportional to 84,328 and 128,219 is: 194,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,328 : 128,219 = 128,219 : x
  2. Step 2: Convert to fraction form
    84,328/128,219 = 128,219/x
  3. Step 3: Cross multiply
    84,328x = 128,219 × 128,219
  4. Step 4: Simplify right side
    84,328x = 16,440,111,961
  5. Step 5: Solve for x
    x = 16,440,111,961/84,328
  6. Step 6: Final answer
    x = 194,954.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.