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Finding the Third Proportional to 63,792 and 139,676

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Solution

The third proportional to 63,792 and 139,676 is: 305,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,792 : 139,676 = 139,676 : x
  2. Step 2: Convert to fraction form
    63,792/139,676 = 139,676/x
  3. Step 3: Cross multiply
    63,792x = 139,676 × 139,676
  4. Step 4: Simplify right side
    63,792x = 19,509,384,976
  5. Step 5: Solve for x
    x = 19,509,384,976/63,792
  6. Step 6: Final answer
    x = 305,828.08

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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.