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Finding the Third Proportional to 74,731 and 161,673

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Solution

The third proportional to 74,731 and 161,673 is: 349,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,731 : 161,673 = 161,673 : x
  2. Step 2: Convert to fraction form
    74,731/161,673 = 161,673/x
  3. Step 3: Cross multiply
    74,731x = 161,673 × 161,673
  4. Step 4: Simplify right side
    74,731x = 26,138,158,929
  5. Step 5: Solve for x
    x = 26,138,158,929/74,731
  6. Step 6: Final answer
    x = 349,763.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.