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Finding the Third Proportional to 121,084.88 and 166,217.06

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Solution

The third proportional to 121,084.88 and 166,217.06 is: 228,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,084.88 : 166,217.06 = 166,217.06 : x
  2. Step 2: Convert to fraction form
    121,084.88/166,217.06 = 166,217.06/x
  3. Step 3: Cross multiply
    121,084.88x = 166,217.06 × 166,217.06
  4. Step 4: Simplify right side
    121,084.88x = 27,628,111,866.13
  5. Step 5: Solve for x
    x = 27,628,111,866.13/121,084.88
  6. Step 6: Final answer
    x = 228,171.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.