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Finding the Third Proportional to 113,072 and 175,834

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Solution

The third proportional to 113,072 and 175,834 is: 273,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,072 : 175,834 = 175,834 : x
  2. Step 2: Convert to fraction form
    113,072/175,834 = 175,834/x
  3. Step 3: Cross multiply
    113,072x = 175,834 × 175,834
  4. Step 4: Simplify right side
    113,072x = 30,917,595,556
  5. Step 5: Solve for x
    x = 30,917,595,556/113,072
  6. Step 6: Final answer
    x = 273,432.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.