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Finding the Third Proportional to 68,700 and 144,777

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Solution

The third proportional to 68,700 and 144,777 is: 305,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,700 : 144,777 = 144,777 : x
  2. Step 2: Convert to fraction form
    68,700/144,777 = 144,777/x
  3. Step 3: Cross multiply
    68,700x = 144,777 × 144,777
  4. Step 4: Simplify right side
    68,700x = 20,960,379,729
  5. Step 5: Solve for x
    x = 20,960,379,729/68,700
  6. Step 6: Final answer
    x = 305,100.14

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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.