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Finding the Third Proportional to 65,798 and 144,715

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Solution

The third proportional to 65,798 and 144,715 is: 318,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,798 : 144,715 = 144,715 : x
  2. Step 2: Convert to fraction form
    65,798/144,715 = 144,715/x
  3. Step 3: Cross multiply
    65,798x = 144,715 × 144,715
  4. Step 4: Simplify right side
    65,798x = 20,942,431,225
  5. Step 5: Solve for x
    x = 20,942,431,225/65,798
  6. Step 6: Final answer
    x = 318,283.71

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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.