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Finding the Third Proportional to 65,805 and 144,729

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Solution

The third proportional to 65,805 and 144,729 is: 318,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,805 : 144,729 = 144,729 : x
  2. Step 2: Convert to fraction form
    65,805/144,729 = 144,729/x
  3. Step 3: Cross multiply
    65,805x = 144,729 × 144,729
  4. Step 4: Simplify right side
    65,805x = 20,946,483,441
  5. Step 5: Solve for x
    x = 20,946,483,441/65,805
  6. Step 6: Final answer
    x = 318,311.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.