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Finding the Third Proportional to 77,946.75 and 167,913.38

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Solution

The third proportional to 77,946.75 and 167,913.38 is: 361,720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,946.75 : 167,913.38 = 167,913.38 : x
  2. Step 2: Convert to fraction form
    77,946.75/167,913.38 = 167,913.38/x
  3. Step 3: Cross multiply
    77,946.75x = 167,913.38 × 167,913.38
  4. Step 4: Simplify right side
    77,946.75x = 28,194,901,503.89
  5. Step 5: Solve for x
    x = 28,194,901,503.89/77,946.75
  6. Step 6: Final answer
    x = 361,720.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.