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Finding the Third Proportional to 74,731.50 and 111,034.13

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Solution

The third proportional to 74,731.50 and 111,034.13 is: 164,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,731.50 : 111,034.13 = 111,034.13 : x
  2. Step 2: Convert to fraction form
    74,731.50/111,034.13 = 111,034.13/x
  3. Step 3: Cross multiply
    74,731.50x = 111,034.13 × 111,034.13
  4. Step 4: Simplify right side
    74,731.50x = 12,328,576,914.52
  5. Step 5: Solve for x
    x = 12,328,576,914.52/74,731.50
  6. Step 6: Final answer
    x = 164,971.62

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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.