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Finding the Third Proportional to 119,763 and 259,461

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Solution

The third proportional to 119,763 and 259,461 is: 562,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,763 : 259,461 = 259,461 : x
  2. Step 2: Convert to fraction form
    119,763/259,461 = 259,461/x
  3. Step 3: Cross multiply
    119,763x = 259,461 × 259,461
  4. Step 4: Simplify right side
    119,763x = 67,320,010,521
  5. Step 5: Solve for x
    x = 67,320,010,521/119,763
  6. Step 6: Final answer
    x = 562,110.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.