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Finding the Third Proportional to 74,502 and 159,669

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Solution

The third proportional to 74,502 and 159,669 is: 342,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,502 : 159,669 = 159,669 : x
  2. Step 2: Convert to fraction form
    74,502/159,669 = 159,669/x
  3. Step 3: Cross multiply
    74,502x = 159,669 × 159,669
  4. Step 4: Simplify right side
    74,502x = 25,494,189,561
  5. Step 5: Solve for x
    x = 25,494,189,561/74,502
  6. Step 6: Final answer
    x = 342,194.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.