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Finding the Third Proportional to 77,923 and 170,426

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Solution

The third proportional to 77,923 and 170,426 is: 372,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,923 : 170,426 = 170,426 : x
  2. Step 2: Convert to fraction form
    77,923/170,426 = 170,426/x
  3. Step 3: Cross multiply
    77,923x = 170,426 × 170,426
  4. Step 4: Simplify right side
    77,923x = 29,045,021,476
  5. Step 5: Solve for x
    x = 29,045,021,476/77,923
  6. Step 6: Final answer
    x = 372,740.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.