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Finding the Third Proportional to 74,109 and 164,798

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Solution

The third proportional to 74,109 and 164,798 is: 366,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,109 : 164,798 = 164,798 : x
  2. Step 2: Convert to fraction form
    74,109/164,798 = 164,798/x
  3. Step 3: Cross multiply
    74,109x = 164,798 × 164,798
  4. Step 4: Simplify right side
    74,109x = 27,158,380,804
  5. Step 5: Solve for x
    x = 27,158,380,804/74,109
  6. Step 6: Final answer
    x = 366,465.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.