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Finding the Third Proportional to 120,998 and 249,766

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Solution

The third proportional to 120,998 and 249,766 is: 515,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,998 : 249,766 = 249,766 : x
  2. Step 2: Convert to fraction form
    120,998/249,766 = 249,766/x
  3. Step 3: Cross multiply
    120,998x = 249,766 × 249,766
  4. Step 4: Simplify right side
    120,998x = 62,383,054,756
  5. Step 5: Solve for x
    x = 62,383,054,756/120,998
  6. Step 6: Final answer
    x = 515,570.96

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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.