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Finding the Third Proportional to 56,517 and 76,756.88

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Solution

The third proportional to 56,517 and 76,756.88 is: 104,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,517 : 76,756.88 = 76,756.88 : x
  2. Step 2: Convert to fraction form
    56,517/76,756.88 = 76,756.88/x
  3. Step 3: Cross multiply
    56,517x = 76,756.88 × 76,756.88
  4. Step 4: Simplify right side
    56,517x = 5,891,617,859.77
  5. Step 5: Solve for x
    x = 5,891,617,859.77/56,517
  6. Step 6: Final answer
    x = 104,245.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.