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Finding the Third Proportional to 76,077 and 160,650

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Solution

The third proportional to 76,077 and 160,650 is: 339,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,077 : 160,650 = 160,650 : x
  2. Step 2: Convert to fraction form
    76,077/160,650 = 160,650/x
  3. Step 3: Cross multiply
    76,077x = 160,650 × 160,650
  4. Step 4: Simplify right side
    76,077x = 25,808,422,500
  5. Step 5: Solve for x
    x = 25,808,422,500/76,077
  6. Step 6: Final answer
    x = 339,240.80

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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.