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Finding the Third Proportional to 81,735 and 175,134

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Solution

The third proportional to 81,735 and 175,134 is: 375,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,735 : 175,134 = 175,134 : x
  2. Step 2: Convert to fraction form
    81,735/175,134 = 175,134/x
  3. Step 3: Cross multiply
    81,735x = 175,134 × 175,134
  4. Step 4: Simplify right side
    81,735x = 30,671,917,956
  5. Step 5: Solve for x
    x = 30,671,917,956/81,735
  6. Step 6: Final answer
    x = 375,260.51

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Why These Related Problems?

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