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Finding the Third Proportional to 81,825.19 and 176,559.75

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Solution

The third proportional to 81,825.19 and 176,559.75 is: 380,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,825.19 : 176,559.75 = 176,559.75 : x
  2. Step 2: Convert to fraction form
    81,825.19/176,559.75 = 176,559.75/x
  3. Step 3: Cross multiply
    81,825.19x = 176,559.75 × 176,559.75
  4. Step 4: Simplify right side
    81,825.19x = 31,173,345,320.06
  5. Step 5: Solve for x
    x = 31,173,345,320.06/81,825.19
  6. Step 6: Final answer
    x = 380,974.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.