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Finding the Third Proportional to 65,466 and 143,676

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Solution

The third proportional to 65,466 and 143,676 is: 315,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,466 : 143,676 = 143,676 : x
  2. Step 2: Convert to fraction form
    65,466/143,676 = 143,676/x
  3. Step 3: Cross multiply
    65,466x = 143,676 × 143,676
  4. Step 4: Simplify right side
    65,466x = 20,642,792,976
  5. Step 5: Solve for x
    x = 20,642,792,976/65,466
  6. Step 6: Final answer
    x = 315,320.82

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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.