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Finding the Third Proportional to 84,914 and 118,785

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Solution

The third proportional to 84,914 and 118,785 is: 166,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,914 : 118,785 = 118,785 : x
  2. Step 2: Convert to fraction form
    84,914/118,785 = 118,785/x
  3. Step 3: Cross multiply
    84,914x = 118,785 × 118,785
  4. Step 4: Simplify right side
    84,914x = 14,109,876,225
  5. Step 5: Solve for x
    x = 14,109,876,225/84,914
  6. Step 6: Final answer
    x = 166,166.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.