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Finding the Third Proportional to 76,071 and 160,638

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Solution

The third proportional to 76,071 and 160,638 is: 339,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,071 : 160,638 = 160,638 : x
  2. Step 2: Convert to fraction form
    76,071/160,638 = 160,638/x
  3. Step 3: Cross multiply
    76,071x = 160,638 × 160,638
  4. Step 4: Simplify right side
    76,071x = 25,804,567,044
  5. Step 5: Solve for x
    x = 25,804,567,044/76,071
  6. Step 6: Final answer
    x = 339,216.88

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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.