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Finding the Third Proportional to 76,735.50 and 167,703

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Solution

The third proportional to 76,735.50 and 167,703 is: 366,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,735.50 : 167,703 = 167,703 : x
  2. Step 2: Convert to fraction form
    76,735.50/167,703 = 167,703/x
  3. Step 3: Cross multiply
    76,735.50x = 167,703 × 167,703
  4. Step 4: Simplify right side
    76,735.50x = 28,124,296,209
  5. Step 5: Solve for x
    x = 28,124,296,209/76,735.50
  6. Step 6: Final answer
    x = 366,509.58

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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.