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Finding the Third Proportional to 85,106 and 134,699

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Solution

The third proportional to 85,106 and 134,699 is: 213,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,106 : 134,699 = 134,699 : x
  2. Step 2: Convert to fraction form
    85,106/134,699 = 134,699/x
  3. Step 3: Cross multiply
    85,106x = 134,699 × 134,699
  4. Step 4: Simplify right side
    85,106x = 18,143,820,601
  5. Step 5: Solve for x
    x = 18,143,820,601/85,106
  6. Step 6: Final answer
    x = 213,190.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.