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Finding the Third Proportional to 81,797.63 and 173,026.41

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Solution

The third proportional to 81,797.63 and 173,026.41 is: 366,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,797.63 : 173,026.41 = 173,026.41 : x
  2. Step 2: Convert to fraction form
    81,797.63/173,026.41 = 173,026.41/x
  3. Step 3: Cross multiply
    81,797.63x = 173,026.41 × 173,026.41
  4. Step 4: Simplify right side
    81,797.63x = 29,938,137,259.79
  5. Step 5: Solve for x
    x = 29,938,137,259.79/81,797.63
  6. Step 6: Final answer
    x = 366,002.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.