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Finding the Third Proportional to 133,077 and 205,562

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Solution

The third proportional to 133,077 and 205,562 is: 317,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,077 : 205,562 = 205,562 : x
  2. Step 2: Convert to fraction form
    133,077/205,562 = 205,562/x
  3. Step 3: Cross multiply
    133,077x = 205,562 × 205,562
  4. Step 4: Simplify right side
    133,077x = 42,255,735,844
  5. Step 5: Solve for x
    x = 42,255,735,844/133,077
  6. Step 6: Final answer
    x = 317,528.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.