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Finding the Third Proportional to 85,902 and 126,277.50

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Solution

The third proportional to 85,902 and 126,277.50 is: 185,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,902 : 126,277.50 = 126,277.50 : x
  2. Step 2: Convert to fraction form
    85,902/126,277.50 = 126,277.50/x
  3. Step 3: Cross multiply
    85,902x = 126,277.50 × 126,277.50
  4. Step 4: Simplify right side
    85,902x = 15,946,007,006.25
  5. Step 5: Solve for x
    x = 15,946,007,006.25/85,902
  6. Step 6: Final answer
    x = 185,630.22

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