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Finding the Third Proportional to 119,835 and 181,944

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Solution

The third proportional to 119,835 and 181,944 is: 276,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,835 : 181,944 = 181,944 : x
  2. Step 2: Convert to fraction form
    119,835/181,944 = 181,944/x
  3. Step 3: Cross multiply
    119,835x = 181,944 × 181,944
  4. Step 4: Simplify right side
    119,835x = 33,103,619,136
  5. Step 5: Solve for x
    x = 33,103,619,136/119,835
  6. Step 6: Final answer
    x = 276,243.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.