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Finding the Third Proportional to 74,155 and 159,973

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Solution

The third proportional to 74,155 and 159,973 is: 345,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,155 : 159,973 = 159,973 : x
  2. Step 2: Convert to fraction form
    74,155/159,973 = 159,973/x
  3. Step 3: Cross multiply
    74,155x = 159,973 × 159,973
  4. Step 4: Simplify right side
    74,155x = 25,591,360,729
  5. Step 5: Solve for x
    x = 25,591,360,729/74,155
  6. Step 6: Final answer
    x = 345,106.34

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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.