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Finding the Third Proportional to 56,738.75 and 85,352.88

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Solution

The third proportional to 56,738.75 and 85,352.88 is: 128,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,738.75 : 85,352.88 = 85,352.88 : x
  2. Step 2: Convert to fraction form
    56,738.75/85,352.88 = 85,352.88/x
  3. Step 3: Cross multiply
    56,738.75x = 85,352.88 × 85,352.88
  4. Step 4: Simplify right side
    56,738.75x = 7,285,113,270.77
  5. Step 5: Solve for x
    x = 7,285,113,270.77/56,738.75
  6. Step 6: Final answer
    x = 128,397.49

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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.