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Finding the Third Proportional to 75,362 and 115,635

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Solution

The third proportional to 75,362 and 115,635 is: 177,429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,362 : 115,635 = 115,635 : x
  2. Step 2: Convert to fraction form
    75,362/115,635 = 115,635/x
  3. Step 3: Cross multiply
    75,362x = 115,635 × 115,635
  4. Step 4: Simplify right side
    75,362x = 13,371,453,225
  5. Step 5: Solve for x
    x = 13,371,453,225/75,362
  6. Step 6: Final answer
    x = 177,429.65

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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.