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Finding the Third Proportional to 121,415.50 and 183,816.75

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Solution

The third proportional to 121,415.50 and 183,816.75 is: 278,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,415.50 : 183,816.75 = 183,816.75 : x
  2. Step 2: Convert to fraction form
    121,415.50/183,816.75 = 183,816.75/x
  3. Step 3: Cross multiply
    121,415.50x = 183,816.75 × 183,816.75
  4. Step 4: Simplify right side
    121,415.50x = 33,788,597,580.56
  5. Step 5: Solve for x
    x = 33,788,597,580.56/121,415.50
  6. Step 6: Final answer
    x = 278,289.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.