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Finding the Third Proportional to 127,952 and 270,668

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Solution

The third proportional to 127,952 and 270,668 is: 572,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,952 : 270,668 = 270,668 : x
  2. Step 2: Convert to fraction form
    127,952/270,668 = 270,668/x
  3. Step 3: Cross multiply
    127,952x = 270,668 × 270,668
  4. Step 4: Simplify right side
    127,952x = 73,261,166,224
  5. Step 5: Solve for x
    x = 73,261,166,224/127,952
  6. Step 6: Final answer
    x = 572,567.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.