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Finding the Third Proportional to 81,052 and 176,725

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Solution

The third proportional to 81,052 and 176,725 is: 385,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,052 : 176,725 = 176,725 : x
  2. Step 2: Convert to fraction form
    81,052/176,725 = 176,725/x
  3. Step 3: Cross multiply
    81,052x = 176,725 × 176,725
  4. Step 4: Simplify right side
    81,052x = 31,231,725,625
  5. Step 5: Solve for x
    x = 31,231,725,625/81,052
  6. Step 6: Final answer
    x = 385,329.49

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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.