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Finding the Third Proportional to 74,077 and 159,737

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Solution

The third proportional to 74,077 and 159,737 is: 344,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,077 : 159,737 = 159,737 : x
  2. Step 2: Convert to fraction form
    74,077/159,737 = 159,737/x
  3. Step 3: Cross multiply
    74,077x = 159,737 × 159,737
  4. Step 4: Simplify right side
    74,077x = 25,515,909,169
  5. Step 5: Solve for x
    x = 25,515,909,169/74,077
  6. Step 6: Final answer
    x = 344,451.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.