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Finding the Third Proportional to 81,001.69 and 174,420.56

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Solution

The third proportional to 81,001.69 and 174,420.56 is: 375,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,001.69 : 174,420.56 = 174,420.56 : x
  2. Step 2: Convert to fraction form
    81,001.69/174,420.56 = 174,420.56/x
  3. Step 3: Cross multiply
    81,001.69x = 174,420.56 × 174,420.56
  4. Step 4: Simplify right side
    81,001.69x = 30,422,532,622.82
  5. Step 5: Solve for x
    x = 30,422,532,622.82/81,001.69
  6. Step 6: Final answer
    x = 375,579.00

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