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Finding the Third Proportional to 76,939.88 and 167,907.94

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Solution

The third proportional to 76,939.88 and 167,907.94 is: 366,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,939.88 : 167,907.94 = 167,907.94 : x
  2. Step 2: Convert to fraction form
    76,939.88/167,907.94 = 167,907.94/x
  3. Step 3: Cross multiply
    76,939.88x = 167,907.94 × 167,907.94
  4. Step 4: Simplify right side
    76,939.88x = 28,193,075,475.50
  5. Step 5: Solve for x
    x = 28,193,075,475.50/76,939.88
  6. Step 6: Final answer
    x = 366,429.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.