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Finding the Third Proportional to 127,890 and 200,035.50

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Solution

The third proportional to 127,890 and 200,035.50 is: 312,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,890 : 200,035.50 = 200,035.50 : x
  2. Step 2: Convert to fraction form
    127,890/200,035.50 = 200,035.50/x
  3. Step 3: Cross multiply
    127,890x = 200,035.50 × 200,035.50
  4. Step 4: Simplify right side
    127,890x = 40,014,201,260.25
  5. Step 5: Solve for x
    x = 40,014,201,260.25/127,890
  6. Step 6: Final answer
    x = 312,879.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.