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Finding the Third Proportional to 37,323 and 81,179

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Solution

The third proportional to 37,323 and 81,179 is: 176,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,323 : 81,179 = 81,179 : x
  2. Step 2: Convert to fraction form
    37,323/81,179 = 81,179/x
  3. Step 3: Cross multiply
    37,323x = 81,179 × 81,179
  4. Step 4: Simplify right side
    37,323x = 6,590,030,041
  5. Step 5: Solve for x
    x = 6,590,030,041/37,323
  6. Step 6: Final answer
    x = 176,567.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.