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Finding the Third Proportional to 65,423 and 103,763

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Solution

The third proportional to 65,423 and 103,763 is: 164,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,423 : 103,763 = 103,763 : x
  2. Step 2: Convert to fraction form
    65,423/103,763 = 103,763/x
  3. Step 3: Cross multiply
    65,423x = 103,763 × 103,763
  4. Step 4: Simplify right side
    65,423x = 10,766,760,169
  5. Step 5: Solve for x
    x = 10,766,760,169/65,423
  6. Step 6: Final answer
    x = 164,571.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.