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Finding the Third Proportional to 116,892 and 170,964

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Solution

The third proportional to 116,892 and 170,964 is: 250,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,892 : 170,964 = 170,964 : x
  2. Step 2: Convert to fraction form
    116,892/170,964 = 170,964/x
  3. Step 3: Cross multiply
    116,892x = 170,964 × 170,964
  4. Step 4: Simplify right side
    116,892x = 29,228,689,296
  5. Step 5: Solve for x
    x = 29,228,689,296/116,892
  6. Step 6: Final answer
    x = 250,048.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.