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Finding the Third Proportional to 74,912 and 159,060

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Solution

The third proportional to 74,912 and 159,060 is: 337,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,912 : 159,060 = 159,060 : x
  2. Step 2: Convert to fraction form
    74,912/159,060 = 159,060/x
  3. Step 3: Cross multiply
    74,912x = 159,060 × 159,060
  4. Step 4: Simplify right side
    74,912x = 25,300,083,600
  5. Step 5: Solve for x
    x = 25,300,083,600/74,912
  6. Step 6: Final answer
    x = 337,730.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.