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Finding the Third Proportional to 101,764 and 155,668

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Solution

The third proportional to 101,764 and 155,668 is: 238,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,764 : 155,668 = 155,668 : x
  2. Step 2: Convert to fraction form
    101,764/155,668 = 155,668/x
  3. Step 3: Cross multiply
    101,764x = 155,668 × 155,668
  4. Step 4: Simplify right side
    101,764x = 24,232,526,224
  5. Step 5: Solve for x
    x = 24,232,526,224/101,764
  6. Step 6: Final answer
    x = 238,124.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.