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Finding the Third Proportional to 74,746 and 159,182

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Solution

The third proportional to 74,746 and 159,182 is: 339,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,746 : 159,182 = 159,182 : x
  2. Step 2: Convert to fraction form
    74,746/159,182 = 159,182/x
  3. Step 3: Cross multiply
    74,746x = 159,182 × 159,182
  4. Step 4: Simplify right side
    74,746x = 25,338,909,124
  5. Step 5: Solve for x
    x = 25,338,909,124/74,746
  6. Step 6: Final answer
    x = 339,000.20

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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.