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Finding the Third Proportional to 77,245.88 and 162,795.38

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Solution

The third proportional to 77,245.88 and 162,795.38 is: 343,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,245.88 : 162,795.38 = 162,795.38 : x
  2. Step 2: Convert to fraction form
    77,245.88/162,795.38 = 162,795.38/x
  3. Step 3: Cross multiply
    77,245.88x = 162,795.38 × 162,795.38
  4. Step 4: Simplify right side
    77,245.88x = 26,502,334,121.39
  5. Step 5: Solve for x
    x = 26,502,334,121.39/77,245.88
  6. Step 6: Final answer
    x = 343,090.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.