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Finding the Third Proportional to 121,583.25 and 181,888.88

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Solution

The third proportional to 121,583.25 and 181,888.88 is: 272,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,583.25 : 181,888.88 = 181,888.88 : x
  2. Step 2: Convert to fraction form
    121,583.25/181,888.88 = 181,888.88/x
  3. Step 3: Cross multiply
    121,583.25x = 181,888.88 × 181,888.88
  4. Step 4: Simplify right side
    121,583.25x = 33,083,562,848.77
  5. Step 5: Solve for x
    x = 33,083,562,848.77/121,583.25
  6. Step 6: Final answer
    x = 272,106.26

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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.