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Finding the Third Proportional to 119,912 and 259,034

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Solution

The third proportional to 119,912 and 259,034 is: 559,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,912 : 259,034 = 259,034 : x
  2. Step 2: Convert to fraction form
    119,912/259,034 = 259,034/x
  3. Step 3: Cross multiply
    119,912x = 259,034 × 259,034
  4. Step 4: Simplify right side
    119,912x = 67,098,613,156
  5. Step 5: Solve for x
    x = 67,098,613,156/119,912
  6. Step 6: Final answer
    x = 559,565.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.