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Finding the Third Proportional to 74,896 and 159,028

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Solution

The third proportional to 74,896 and 159,028 is: 337,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,896 : 159,028 = 159,028 : x
  2. Step 2: Convert to fraction form
    74,896/159,028 = 159,028/x
  3. Step 3: Cross multiply
    74,896x = 159,028 × 159,028
  4. Step 4: Simplify right side
    74,896x = 25,289,904,784
  5. Step 5: Solve for x
    x = 25,289,904,784/74,896
  6. Step 6: Final answer
    x = 337,666.96

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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.