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Finding the Third Proportional to 121,250.81 and 183,553.31

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Solution

The third proportional to 121,250.81 and 183,553.31 is: 277,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,250.81 : 183,553.31 = 183,553.31 : x
  2. Step 2: Convert to fraction form
    121,250.81/183,553.31 = 183,553.31/x
  3. Step 3: Cross multiply
    121,250.81x = 183,553.31 × 183,553.31
  4. Step 4: Simplify right side
    121,250.81x = 33,691,818,529.72
  5. Step 5: Solve for x
    x = 33,691,818,529.72/121,250.81
  6. Step 6: Final answer
    x = 277,868.81

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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.