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Finding the Third Proportional to 85,852 and 133,091

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Solution

The third proportional to 85,852 and 133,091 is: 206,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,852 : 133,091 = 133,091 : x
  2. Step 2: Convert to fraction form
    85,852/133,091 = 133,091/x
  3. Step 3: Cross multiply
    85,852x = 133,091 × 133,091
  4. Step 4: Simplify right side
    85,852x = 17,713,214,281
  5. Step 5: Solve for x
    x = 17,713,214,281/85,852
  6. Step 6: Final answer
    x = 206,322.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.