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Finding the Third Proportional to 74,848 and 111,948

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Solution

The third proportional to 74,848 and 111,948 is: 167,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,848 : 111,948 = 111,948 : x
  2. Step 2: Convert to fraction form
    74,848/111,948 = 111,948/x
  3. Step 3: Cross multiply
    74,848x = 111,948 × 111,948
  4. Step 4: Simplify right side
    74,848x = 12,532,354,704
  5. Step 5: Solve for x
    x = 12,532,354,704/74,848
  6. Step 6: Final answer
    x = 167,437.40

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