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Finding the Third Proportional to 65,476 and 143,696

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Solution

The third proportional to 65,476 and 143,696 is: 315,360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,476 : 143,696 = 143,696 : x
  2. Step 2: Convert to fraction form
    65,476/143,696 = 143,696/x
  3. Step 3: Cross multiply
    65,476x = 143,696 × 143,696
  4. Step 4: Simplify right side
    65,476x = 20,648,540,416
  5. Step 5: Solve for x
    x = 20,648,540,416/65,476
  6. Step 6: Final answer
    x = 315,360.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.