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Finding the Third Proportional to 58,135 and 119,907

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Solution

The third proportional to 58,135 and 119,907 is: 247,315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,135 : 119,907 = 119,907 : x
  2. Step 2: Convert to fraction form
    58,135/119,907 = 119,907/x
  3. Step 3: Cross multiply
    58,135x = 119,907 × 119,907
  4. Step 4: Simplify right side
    58,135x = 14,377,688,649
  5. Step 5: Solve for x
    x = 14,377,688,649/58,135
  6. Step 6: Final answer
    x = 247,315.54

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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.