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Finding the Third Proportional to 84,312 and 134,244

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Solution

The third proportional to 84,312 and 134,244 is: 213,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,312 : 134,244 = 134,244 : x
  2. Step 2: Convert to fraction form
    84,312/134,244 = 134,244/x
  3. Step 3: Cross multiply
    84,312x = 134,244 × 134,244
  4. Step 4: Simplify right side
    84,312x = 18,021,451,536
  5. Step 5: Solve for x
    x = 18,021,451,536/84,312
  6. Step 6: Final answer
    x = 213,747.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.