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Finding the Third Proportional to 122,016 and 249,976

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Solution

The third proportional to 122,016 and 249,976 is: 512,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,016 : 249,976 = 249,976 : x
  2. Step 2: Convert to fraction form
    122,016/249,976 = 249,976/x
  3. Step 3: Cross multiply
    122,016x = 249,976 × 249,976
  4. Step 4: Simplify right side
    122,016x = 62,488,000,576
  5. Step 5: Solve for x
    x = 62,488,000,576/122,016
  6. Step 6: Final answer
    x = 512,129.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.