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Finding the Third Proportional to 75,504 and 160,152

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Solution

The third proportional to 75,504 and 160,152 is: 339,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,504 : 160,152 = 160,152 : x
  2. Step 2: Convert to fraction form
    75,504/160,152 = 160,152/x
  3. Step 3: Cross multiply
    75,504x = 160,152 × 160,152
  4. Step 4: Simplify right side
    75,504x = 25,648,663,104
  5. Step 5: Solve for x
    x = 25,648,663,104/75,504
  6. Step 6: Final answer
    x = 339,699.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.