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Finding the Third Proportional to 112,126 and 186,870

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Solution

The third proportional to 112,126 and 186,870 is: 311,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,126 : 186,870 = 186,870 : x
  2. Step 2: Convert to fraction form
    112,126/186,870 = 186,870/x
  3. Step 3: Cross multiply
    112,126x = 186,870 × 186,870
  4. Step 4: Simplify right side
    112,126x = 34,920,396,900
  5. Step 5: Solve for x
    x = 34,920,396,900/112,126
  6. Step 6: Final answer
    x = 311,438.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.