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Finding the Third Proportional to 81,461.25 and 174,312.75

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Solution

The third proportional to 81,461.25 and 174,312.75 is: 372,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,461.25 : 174,312.75 = 174,312.75 : x
  2. Step 2: Convert to fraction form
    81,461.25/174,312.75 = 174,312.75/x
  3. Step 3: Cross multiply
    81,461.25x = 174,312.75 × 174,312.75
  4. Step 4: Simplify right side
    81,461.25x = 30,384,934,812.56
  5. Step 5: Solve for x
    x = 30,384,934,812.56/81,461.25
  6. Step 6: Final answer
    x = 372,998.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.