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Finding the Third Proportional to 68,928.75 and 93,549

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Solution

The third proportional to 68,928.75 and 93,549 is: 126,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,928.75 : 93,549 = 93,549 : x
  2. Step 2: Convert to fraction form
    68,928.75/93,549 = 93,549/x
  3. Step 3: Cross multiply
    68,928.75x = 93,549 × 93,549
  4. Step 4: Simplify right side
    68,928.75x = 8,751,415,401
  5. Step 5: Solve for x
    x = 8,751,415,401/68,928.75
  6. Step 6: Final answer
    x = 126,963.21

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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.