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Finding the Third Proportional to 68,529 and 93,360

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Solution

The third proportional to 68,529 and 93,360 is: 127,188.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,529 : 93,360 = 93,360 : x
  2. Step 2: Convert to fraction form
    68,529/93,360 = 93,360/x
  3. Step 3: Cross multiply
    68,529x = 93,360 × 93,360
  4. Step 4: Simplify right side
    68,529x = 8,716,089,600
  5. Step 5: Solve for x
    x = 8,716,089,600/68,529
  6. Step 6: Final answer
    x = 127,188.34

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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.