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Finding the Third Proportional to 68,152 and 104,388

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Solution

The third proportional to 68,152 and 104,388 is: 159,890.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,152 : 104,388 = 104,388 : x
  2. Step 2: Convert to fraction form
    68,152/104,388 = 104,388/x
  3. Step 3: Cross multiply
    68,152x = 104,388 × 104,388
  4. Step 4: Simplify right side
    68,152x = 10,896,854,544
  5. Step 5: Solve for x
    x = 10,896,854,544/68,152
  6. Step 6: Final answer
    x = 159,890.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.