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Finding the Third Proportional to 127,075 and 267,254

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Solution

The third proportional to 127,075 and 267,254 is: 562,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,075 : 267,254 = 267,254 : x
  2. Step 2: Convert to fraction form
    127,075/267,254 = 267,254/x
  3. Step 3: Cross multiply
    127,075x = 267,254 × 267,254
  4. Step 4: Simplify right side
    127,075x = 71,424,700,516
  5. Step 5: Solve for x
    x = 71,424,700,516/127,075
  6. Step 6: Final answer
    x = 562,067.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.