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Finding the Third Proportional to 116,896.50 and 170,969.06

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Solution

The third proportional to 116,896.50 and 170,969.06 is: 250,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,896.50 : 170,969.06 = 170,969.06 : x
  2. Step 2: Convert to fraction form
    116,896.50/170,969.06 = 170,969.06/x
  3. Step 3: Cross multiply
    116,896.50x = 170,969.06 × 170,969.06
  4. Step 4: Simplify right side
    116,896.50x = 29,230,420,332.13
  5. Step 5: Solve for x
    x = 29,230,420,332.13/116,896.50
  6. Step 6: Final answer
    x = 250,053.85

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Why These Related Problems?

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