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Finding the Third Proportional to 121,837.50 and 188,287.88

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Solution

The third proportional to 121,837.50 and 188,287.88 is: 290,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,837.50 : 188,287.88 = 188,287.88 : x
  2. Step 2: Convert to fraction form
    121,837.50/188,287.88 = 188,287.88/x
  3. Step 3: Cross multiply
    121,837.50x = 188,287.88 × 188,287.88
  4. Step 4: Simplify right side
    121,837.50x = 35,452,323,872.02
  5. Step 5: Solve for x
    x = 35,452,323,872.02/121,837.50
  6. Step 6: Final answer
    x = 290,980.39

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