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Finding the Third Proportional to 65,789 and 144,701

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Solution

The third proportional to 65,789 and 144,701 is: 318,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,789 : 144,701 = 144,701 : x
  2. Step 2: Convert to fraction form
    65,789/144,701 = 144,701/x
  3. Step 3: Cross multiply
    65,789x = 144,701 × 144,701
  4. Step 4: Simplify right side
    65,789x = 20,938,379,401
  5. Step 5: Solve for x
    x = 20,938,379,401/65,789
  6. Step 6: Final answer
    x = 318,265.66

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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.