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Finding the Third Proportional to 65,791 and 144,703

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Solution

The third proportional to 65,791 and 144,703 is: 318,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,791 : 144,703 = 144,703 : x
  2. Step 2: Convert to fraction form
    65,791/144,703 = 144,703/x
  3. Step 3: Cross multiply
    65,791x = 144,703 × 144,703
  4. Step 4: Simplify right side
    65,791x = 20,938,958,209
  5. Step 5: Solve for x
    x = 20,938,958,209/65,791
  6. Step 6: Final answer
    x = 318,264.78

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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.