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Finding the Third Proportional to 75,517.50 and 176,371.50

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Solution

The third proportional to 75,517.50 and 176,371.50 is: 411,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,517.50 : 176,371.50 = 176,371.50 : x
  2. Step 2: Convert to fraction form
    75,517.50/176,371.50 = 176,371.50/x
  3. Step 3: Cross multiply
    75,517.50x = 176,371.50 × 176,371.50
  4. Step 4: Simplify right side
    75,517.50x = 31,106,906,012.25
  5. Step 5: Solve for x
    x = 31,106,906,012.25/75,517.50
  6. Step 6: Final answer
    x = 411,916.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.