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Finding the Third Proportional to 76,675.50 and 157,176

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Solution

The third proportional to 76,675.50 and 157,176 is: 322,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675.50 : 157,176 = 157,176 : x
  2. Step 2: Convert to fraction form
    76,675.50/157,176 = 157,176/x
  3. Step 3: Cross multiply
    76,675.50x = 157,176 × 157,176
  4. Step 4: Simplify right side
    76,675.50x = 24,704,294,976
  5. Step 5: Solve for x
    x = 24,704,294,976/76,675.50
  6. Step 6: Final answer
    x = 322,192.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.