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Finding the Third Proportional to 63,634 and 143,769

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Solution

The third proportional to 63,634 and 143,769 is: 324,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,634 : 143,769 = 143,769 : x
  2. Step 2: Convert to fraction form
    63,634/143,769 = 143,769/x
  3. Step 3: Cross multiply
    63,634x = 143,769 × 143,769
  4. Step 4: Simplify right side
    63,634x = 20,669,525,361
  5. Step 5: Solve for x
    x = 20,669,525,361/63,634
  6. Step 6: Final answer
    x = 324,818.89

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.