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Finding the Third Proportional to 74,061 and 111,172.50

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Solution

The third proportional to 74,061 and 111,172.50 is: 166,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,061 : 111,172.50 = 111,172.50 : x
  2. Step 2: Convert to fraction form
    74,061/111,172.50 = 111,172.50/x
  3. Step 3: Cross multiply
    74,061x = 111,172.50 × 111,172.50
  4. Step 4: Simplify right side
    74,061x = 12,359,324,756.25
  5. Step 5: Solve for x
    x = 12,359,324,756.25/74,061
  6. Step 6: Final answer
    x = 166,880.34

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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.