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Finding the Third Proportional to 119,913 and 173,238.75

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Solution

The third proportional to 119,913 and 173,238.75 is: 250,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,913 : 173,238.75 = 173,238.75 : x
  2. Step 2: Convert to fraction form
    119,913/173,238.75 = 173,238.75/x
  3. Step 3: Cross multiply
    119,913x = 173,238.75 × 173,238.75
  4. Step 4: Simplify right side
    119,913x = 30,011,664,501.56
  5. Step 5: Solve for x
    x = 30,011,664,501.56/119,913
  6. Step 6: Final answer
    x = 250,278.66

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.