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Finding the Third Proportional to 60,503 and 131,503

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Solution

The third proportional to 60,503 and 131,503 is: 285,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,503 : 131,503 = 131,503 : x
  2. Step 2: Convert to fraction form
    60,503/131,503 = 131,503/x
  3. Step 3: Cross multiply
    60,503x = 131,503 × 131,503
  4. Step 4: Simplify right side
    60,503x = 17,293,039,009
  5. Step 5: Solve for x
    x = 17,293,039,009/60,503
  6. Step 6: Final answer
    x = 285,821.18

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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.