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Finding the Third Proportional to 117,243 and 181,813.50

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Solution

The third proportional to 117,243 and 181,813.50 is: 281,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,243 : 181,813.50 = 181,813.50 : x
  2. Step 2: Convert to fraction form
    117,243/181,813.50 = 181,813.50/x
  3. Step 3: Cross multiply
    117,243x = 181,813.50 × 181,813.50
  4. Step 4: Simplify right side
    117,243x = 33,056,148,782.25
  5. Step 5: Solve for x
    x = 33,056,148,782.25/117,243
  6. Step 6: Final answer
    x = 281,945.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.