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Finding the Third Proportional to 56,476 and 131,306

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Solution

The third proportional to 56,476 and 131,306 is: 305,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,476 : 131,306 = 131,306 : x
  2. Step 2: Convert to fraction form
    56,476/131,306 = 131,306/x
  3. Step 3: Cross multiply
    56,476x = 131,306 × 131,306
  4. Step 4: Simplify right side
    56,476x = 17,241,265,636
  5. Step 5: Solve for x
    x = 17,241,265,636/56,476
  6. Step 6: Final answer
    x = 305,284.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.