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Finding the Third Proportional to 85,648 and 134,544

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Solution

The third proportional to 85,648 and 134,544 is: 211,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,648 : 134,544 = 134,544 : x
  2. Step 2: Convert to fraction form
    85,648/134,544 = 134,544/x
  3. Step 3: Cross multiply
    85,648x = 134,544 × 134,544
  4. Step 4: Simplify right side
    85,648x = 18,102,087,936
  5. Step 5: Solve for x
    x = 18,102,087,936/85,648
  6. Step 6: Final answer
    x = 211,354.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.