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Finding the Third Proportional to 121,583.50 and 181,889

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Solution

The third proportional to 121,583.50 and 181,889 is: 272,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,583.50 : 181,889 = 181,889 : x
  2. Step 2: Convert to fraction form
    121,583.50/181,889 = 181,889/x
  3. Step 3: Cross multiply
    121,583.50x = 181,889 × 181,889
  4. Step 4: Simplify right side
    121,583.50x = 33,083,608,321
  5. Step 5: Solve for x
    x = 33,083,608,321/121,583.50
  6. Step 6: Final answer
    x = 272,106.07

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Why These Related Problems?

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