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Finding the Third Proportional to 65,745 and 143,928

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Solution

The third proportional to 65,745 and 143,928 is: 315,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,745 : 143,928 = 143,928 : x
  2. Step 2: Convert to fraction form
    65,745/143,928 = 143,928/x
  3. Step 3: Cross multiply
    65,745x = 143,928 × 143,928
  4. Step 4: Simplify right side
    65,745x = 20,715,269,184
  5. Step 5: Solve for x
    x = 20,715,269,184/65,745
  6. Step 6: Final answer
    x = 315,085.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.