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Finding the Third Proportional to 74,820 and 164,179

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Solution

The third proportional to 74,820 and 164,179 is: 360,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,820 : 164,179 = 164,179 : x
  2. Step 2: Convert to fraction form
    74,820/164,179 = 164,179/x
  3. Step 3: Cross multiply
    74,820x = 164,179 × 164,179
  4. Step 4: Simplify right side
    74,820x = 26,954,744,041
  5. Step 5: Solve for x
    x = 26,954,744,041/74,820
  6. Step 6: Final answer
    x = 360,261.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.