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Finding the Third Proportional to 64,701 and 133,290

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Solution

The third proportional to 64,701 and 133,290 is: 274,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,701 : 133,290 = 133,290 : x
  2. Step 2: Convert to fraction form
    64,701/133,290 = 133,290/x
  3. Step 3: Cross multiply
    64,701x = 133,290 × 133,290
  4. Step 4: Simplify right side
    64,701x = 17,766,224,100
  5. Step 5: Solve for x
    x = 17,766,224,100/64,701
  6. Step 6: Final answer
    x = 274,589.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.