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Finding the Third Proportional to 74,596 and 113,842

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Solution

The third proportional to 74,596 and 113,842 is: 173,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,596 : 113,842 = 113,842 : x
  2. Step 2: Convert to fraction form
    74,596/113,842 = 113,842/x
  3. Step 3: Cross multiply
    74,596x = 113,842 × 113,842
  4. Step 4: Simplify right side
    74,596x = 12,960,000,964
  5. Step 5: Solve for x
    x = 12,960,000,964/74,596
  6. Step 6: Final answer
    x = 173,735.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.