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Finding the Third Proportional to 67,023 and 143,769

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Solution

The third proportional to 67,023 and 143,769 is: 308,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,023 : 143,769 = 143,769 : x
  2. Step 2: Convert to fraction form
    67,023/143,769 = 143,769/x
  3. Step 3: Cross multiply
    67,023x = 143,769 × 143,769
  4. Step 4: Simplify right side
    67,023x = 20,669,525,361
  5. Step 5: Solve for x
    x = 20,669,525,361/67,023
  6. Step 6: Final answer
    x = 308,394.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.