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Finding the Third Proportional to 116,596.13 and 180,047.81

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Solution

The third proportional to 116,596.13 and 180,047.81 is: 278,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,596.13 : 180,047.81 = 180,047.81 : x
  2. Step 2: Convert to fraction form
    116,596.13/180,047.81 = 180,047.81/x
  3. Step 3: Cross multiply
    116,596.13x = 180,047.81 × 180,047.81
  4. Step 4: Simplify right side
    116,596.13x = 32,417,214,786.04
  5. Step 5: Solve for x
    x = 32,417,214,786.04/116,596.13
  6. Step 6: Final answer
    x = 278,029.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.