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Finding the Third Proportional to 83,130 and 178,170

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Solution

The third proportional to 83,130 and 178,170 is: 381,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,130 : 178,170 = 178,170 : x
  2. Step 2: Convert to fraction form
    83,130/178,170 = 178,170/x
  3. Step 3: Cross multiply
    83,130x = 178,170 × 178,170
  4. Step 4: Simplify right side
    83,130x = 31,744,548,900
  5. Step 5: Solve for x
    x = 31,744,548,900/83,130
  6. Step 6: Final answer
    x = 381,866.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.