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Finding the Third Proportional to 84,736 and 112,964

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Solution

The third proportional to 84,736 and 112,964 is: 150,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,736 : 112,964 = 112,964 : x
  2. Step 2: Convert to fraction form
    84,736/112,964 = 112,964/x
  3. Step 3: Cross multiply
    84,736x = 112,964 × 112,964
  4. Step 4: Simplify right side
    84,736x = 12,760,865,296
  5. Step 5: Solve for x
    x = 12,760,865,296/84,736
  6. Step 6: Final answer
    x = 150,595.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.