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Finding the Third Proportional to 74,113 and 110,968

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Solution

The third proportional to 74,113 and 110,968 is: 166,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,113 : 110,968 = 110,968 : x
  2. Step 2: Convert to fraction form
    74,113/110,968 = 110,968/x
  3. Step 3: Cross multiply
    74,113x = 110,968 × 110,968
  4. Step 4: Simplify right side
    74,113x = 12,313,897,024
  5. Step 5: Solve for x
    x = 12,313,897,024/74,113
  6. Step 6: Final answer
    x = 166,150.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.