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Finding the Third Proportional to 74,283 and 111,442.50

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Solution

The third proportional to 74,283 and 111,442.50 is: 167,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,283 : 111,442.50 = 111,442.50 : x
  2. Step 2: Convert to fraction form
    74,283/111,442.50 = 111,442.50/x
  3. Step 3: Cross multiply
    74,283x = 111,442.50 × 111,442.50
  4. Step 4: Simplify right side
    74,283x = 12,419,430,806.25
  5. Step 5: Solve for x
    x = 12,419,430,806.25/74,283
  6. Step 6: Final answer
    x = 167,190.75

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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.