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Finding the Third Proportional to 74,733 and 111,034.88

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Solution

The third proportional to 74,733 and 111,034.88 is: 164,970.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,733 : 111,034.88 = 111,034.88 : x
  2. Step 2: Convert to fraction form
    74,733/111,034.88 = 111,034.88/x
  3. Step 3: Cross multiply
    74,733x = 111,034.88 × 111,034.88
  4. Step 4: Simplify right side
    74,733x = 12,328,743,466.27
  5. Step 5: Solve for x
    x = 12,328,743,466.27/74,733
  6. Step 6: Final answer
    x = 164,970.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.