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Finding the Third Proportional to 67,614.75 and 143,613

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Solution

The third proportional to 67,614.75 and 143,613 is: 305,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,614.75 : 143,613 = 143,613 : x
  2. Step 2: Convert to fraction form
    67,614.75/143,613 = 143,613/x
  3. Step 3: Cross multiply
    67,614.75x = 143,613 × 143,613
  4. Step 4: Simplify right side
    67,614.75x = 20,624,693,769
  5. Step 5: Solve for x
    x = 20,624,693,769/67,614.75
  6. Step 6: Final answer
    x = 305,032.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.