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Finding the Third Proportional to 116,890 and 170,959.50

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Solution

The third proportional to 116,890 and 170,959.50 is: 250,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,890 : 170,959.50 = 170,959.50 : x
  2. Step 2: Convert to fraction form
    116,890/170,959.50 = 170,959.50/x
  3. Step 3: Cross multiply
    116,890x = 170,959.50 × 170,959.50
  4. Step 4: Simplify right side
    116,890x = 29,227,150,640.25
  5. Step 5: Solve for x
    x = 29,227,150,640.25/116,890
  6. Step 6: Final answer
    x = 250,039.79

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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.