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Finding the Third Proportional to 112,972 and 244,540

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Solution

The third proportional to 112,972 and 244,540 is: 529,333.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,972 : 244,540 = 244,540 : x
  2. Step 2: Convert to fraction form
    112,972/244,540 = 244,540/x
  3. Step 3: Cross multiply
    112,972x = 244,540 × 244,540
  4. Step 4: Simplify right side
    112,972x = 59,799,811,600
  5. Step 5: Solve for x
    x = 59,799,811,600/112,972
  6. Step 6: Final answer
    x = 529,333.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.