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Finding the Third Proportional to 74,957 and 159,625

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Solution

The third proportional to 74,957 and 159,625 is: 339,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,957 : 159,625 = 159,625 : x
  2. Step 2: Convert to fraction form
    74,957/159,625 = 159,625/x
  3. Step 3: Cross multiply
    74,957x = 159,625 × 159,625
  4. Step 4: Simplify right side
    74,957x = 25,480,140,625
  5. Step 5: Solve for x
    x = 25,480,140,625/74,957
  6. Step 6: Final answer
    x = 339,930.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.