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Finding the Third Proportional to 65,890 and 144,902

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Solution

The third proportional to 65,890 and 144,902 is: 318,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,890 : 144,902 = 144,902 : x
  2. Step 2: Convert to fraction form
    65,890/144,902 = 144,902/x
  3. Step 3: Cross multiply
    65,890x = 144,902 × 144,902
  4. Step 4: Simplify right side
    65,890x = 20,996,589,604
  5. Step 5: Solve for x
    x = 20,996,589,604/65,890
  6. Step 6: Final answer
    x = 318,661.25

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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.