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Finding the Third Proportional to 84,077 and 175,942

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Solution

The third proportional to 84,077 and 175,942 is: 368,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,077 : 175,942 = 175,942 : x
  2. Step 2: Convert to fraction form
    84,077/175,942 = 175,942/x
  3. Step 3: Cross multiply
    84,077x = 175,942 × 175,942
  4. Step 4: Simplify right side
    84,077x = 30,955,587,364
  5. Step 5: Solve for x
    x = 30,955,587,364/84,077
  6. Step 6: Final answer
    x = 368,181.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.