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Finding the Third Proportional to 112,672 and 244,964

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Solution

The third proportional to 112,672 and 244,964 is: 532,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,672 : 244,964 = 244,964 : x
  2. Step 2: Convert to fraction form
    112,672/244,964 = 244,964/x
  3. Step 3: Cross multiply
    112,672x = 244,964 × 244,964
  4. Step 4: Simplify right side
    112,672x = 60,007,361,296
  5. Step 5: Solve for x
    x = 60,007,361,296/112,672
  6. Step 6: Final answer
    x = 532,584.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.