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Finding the Third Proportional to 116,131.50 and 169,717.50

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Solution

The third proportional to 116,131.50 and 169,717.50 is: 248,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,131.50 : 169,717.50 = 169,717.50 : x
  2. Step 2: Convert to fraction form
    116,131.50/169,717.50 = 169,717.50/x
  3. Step 3: Cross multiply
    116,131.50x = 169,717.50 × 169,717.50
  4. Step 4: Simplify right side
    116,131.50x = 28,804,029,806.25
  5. Step 5: Solve for x
    x = 28,804,029,806.25/116,131.50
  6. Step 6: Final answer
    x = 248,029.43

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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.