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Finding the Third Proportional to 119,640 and 259,096

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Solution

The third proportional to 119,640 and 259,096 is: 561,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,640 : 259,096 = 259,096 : x
  2. Step 2: Convert to fraction form
    119,640/259,096 = 259,096/x
  3. Step 3: Cross multiply
    119,640x = 259,096 × 259,096
  4. Step 4: Simplify right side
    119,640x = 67,130,737,216
  5. Step 5: Solve for x
    x = 67,130,737,216/119,640
  6. Step 6: Final answer
    x = 561,106.13

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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.