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Finding the Third Proportional to 63,334 and 133,820

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Solution

The third proportional to 63,334 and 133,820 is: 282,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,334 : 133,820 = 133,820 : x
  2. Step 2: Convert to fraction form
    63,334/133,820 = 133,820/x
  3. Step 3: Cross multiply
    63,334x = 133,820 × 133,820
  4. Step 4: Simplify right side
    63,334x = 17,907,792,400
  5. Step 5: Solve for x
    x = 17,907,792,400/63,334
  6. Step 6: Final answer
    x = 282,751.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.