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Finding the Third Proportional to 84,296 and 118,596

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Solution

The third proportional to 84,296 and 118,596 is: 166,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,296 : 118,596 = 118,596 : x
  2. Step 2: Convert to fraction form
    84,296/118,596 = 118,596/x
  3. Step 3: Cross multiply
    84,296x = 118,596 × 118,596
  4. Step 4: Simplify right side
    84,296x = 14,065,011,216
  5. Step 5: Solve for x
    x = 14,065,011,216/84,296
  6. Step 6: Final answer
    x = 166,852.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.