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Finding the Third Proportional to 128,016 and 187,393.50

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Solution

The third proportional to 128,016 and 187,393.50 is: 274,311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,016 : 187,393.50 = 187,393.50 : x
  2. Step 2: Convert to fraction form
    128,016/187,393.50 = 187,393.50/x
  3. Step 3: Cross multiply
    128,016x = 187,393.50 × 187,393.50
  4. Step 4: Simplify right side
    128,016x = 35,116,323,842.25
  5. Step 5: Solve for x
    x = 35,116,323,842.25/128,016
  6. Step 6: Final answer
    x = 274,311.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.