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Finding the Third Proportional to 96,140 and 131,896

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Solution

The third proportional to 96,140 and 131,896 is: 180,950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,140 : 131,896 = 131,896 : x
  2. Step 2: Convert to fraction form
    96,140/131,896 = 131,896/x
  3. Step 3: Cross multiply
    96,140x = 131,896 × 131,896
  4. Step 4: Simplify right side
    96,140x = 17,396,554,816
  5. Step 5: Solve for x
    x = 17,396,554,816/96,140
  6. Step 6: Final answer
    x = 180,950.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.