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Finding the Third Proportional to 51,738.75 and 93,200.63

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Solution

The third proportional to 51,738.75 and 93,200.63 is: 167,888.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,738.75 : 93,200.63 = 93,200.63 : x
  2. Step 2: Convert to fraction form
    51,738.75/93,200.63 = 93,200.63/x
  3. Step 3: Cross multiply
    51,738.75x = 93,200.63 × 93,200.63
  4. Step 4: Simplify right side
    51,738.75x = 8,686,356,500.39
  5. Step 5: Solve for x
    x = 8,686,356,500.39/51,738.75
  6. Step 6: Final answer
    x = 167,888.80

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.