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Finding the Third Proportional to 67,849.50 and 144,717

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Solution

The third proportional to 67,849.50 and 144,717 is: 308,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,849.50 : 144,717 = 144,717 : x
  2. Step 2: Convert to fraction form
    67,849.50/144,717 = 144,717/x
  3. Step 3: Cross multiply
    67,849.50x = 144,717 × 144,717
  4. Step 4: Simplify right side
    67,849.50x = 20,943,010,089
  5. Step 5: Solve for x
    x = 20,943,010,089/67,849.50
  6. Step 6: Final answer
    x = 308,668.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.