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Finding the Third Proportional to 113,806 and 175,842

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Solution

The third proportional to 113,806 and 175,842 is: 271,694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,806 : 175,842 = 175,842 : x
  2. Step 2: Convert to fraction form
    113,806/175,842 = 175,842/x
  3. Step 3: Cross multiply
    113,806x = 175,842 × 175,842
  4. Step 4: Simplify right side
    113,806x = 30,920,408,964
  5. Step 5: Solve for x
    x = 30,920,408,964/113,806
  6. Step 6: Final answer
    x = 271,694.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.