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Finding the Third Proportional to 56,758.50 and 85,137.75

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Solution

The third proportional to 56,758.50 and 85,137.75 is: 127,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,758.50 : 85,137.75 = 85,137.75 : x
  2. Step 2: Convert to fraction form
    56,758.50/85,137.75 = 85,137.75/x
  3. Step 3: Cross multiply
    56,758.50x = 85,137.75 × 85,137.75
  4. Step 4: Simplify right side
    56,758.50x = 7,248,436,475.06
  5. Step 5: Solve for x
    x = 7,248,436,475.06/56,758.50
  6. Step 6: Final answer
    x = 127,706.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.