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Finding the Third Proportional to 79,130 and 186,795

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Solution

The third proportional to 79,130 and 186,795 is: 440,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,130 : 186,795 = 186,795 : x
  2. Step 2: Convert to fraction form
    79,130/186,795 = 186,795/x
  3. Step 3: Cross multiply
    79,130x = 186,795 × 186,795
  4. Step 4: Simplify right side
    79,130x = 34,892,372,025
  5. Step 5: Solve for x
    x = 34,892,372,025/79,130
  6. Step 6: Final answer
    x = 440,949.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.