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Finding the Third Proportional to 76,125 and 160,656

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Solution

The third proportional to 76,125 and 160,656 is: 339,052.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,125 : 160,656 = 160,656 : x
  2. Step 2: Convert to fraction form
    76,125/160,656 = 160,656/x
  3. Step 3: Cross multiply
    76,125x = 160,656 × 160,656
  4. Step 4: Simplify right side
    76,125x = 25,810,350,336
  5. Step 5: Solve for x
    x = 25,810,350,336/76,125
  6. Step 6: Final answer
    x = 339,052.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.