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Finding the Third Proportional to 122,188.50 and 185,631.75

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Solution

The third proportional to 122,188.50 and 185,631.75 is: 282,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,188.50 : 185,631.75 = 185,631.75 : x
  2. Step 2: Convert to fraction form
    122,188.50/185,631.75 = 185,631.75/x
  3. Step 3: Cross multiply
    122,188.50x = 185,631.75 × 185,631.75
  4. Step 4: Simplify right side
    122,188.50x = 34,459,146,608.06
  5. Step 5: Solve for x
    x = 34,459,146,608.06/122,188.50
  6. Step 6: Final answer
    x = 282,016.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.