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Finding the Third Proportional to 74,922 and 116,001

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Solution

The third proportional to 74,922 and 116,001 is: 179,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,922 : 116,001 = 116,001 : x
  2. Step 2: Convert to fraction form
    74,922/116,001 = 116,001/x
  3. Step 3: Cross multiply
    74,922x = 116,001 × 116,001
  4. Step 4: Simplify right side
    74,922x = 13,456,232,001
  5. Step 5: Solve for x
    x = 13,456,232,001/74,922
  6. Step 6: Final answer
    x = 179,603.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.