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Finding the Third Proportional to 81,504.56 and 174,954.94

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Solution

The third proportional to 81,504.56 and 174,954.94 is: 375,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,504.56 : 174,954.94 = 174,954.94 : x
  2. Step 2: Convert to fraction form
    81,504.56/174,954.94 = 174,954.94/x
  3. Step 3: Cross multiply
    81,504.56x = 174,954.94 × 174,954.94
  4. Step 4: Simplify right side
    81,504.56x = 30,609,230,155.63
  5. Step 5: Solve for x
    x = 30,609,230,155.63/81,504.56
  6. Step 6: Final answer
    x = 375,552.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.