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Finding the Third Proportional to 56,718.50 and 77,075

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Solution

The third proportional to 56,718.50 and 77,075 is: 104,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,718.50 : 77,075 = 77,075 : x
  2. Step 2: Convert to fraction form
    56,718.50/77,075 = 77,075/x
  3. Step 3: Cross multiply
    56,718.50x = 77,075 × 77,075
  4. Step 4: Simplify right side
    56,718.50x = 5,940,555,625
  5. Step 5: Solve for x
    x = 5,940,555,625/56,718.50
  6. Step 6: Final answer
    x = 104,737.53

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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.