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Finding the Third Proportional to 68,112.75 and 93,500

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Solution

The third proportional to 68,112.75 and 93,500 is: 128,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,112.75 : 93,500 = 93,500 : x
  2. Step 2: Convert to fraction form
    68,112.75/93,500 = 93,500/x
  3. Step 3: Cross multiply
    68,112.75x = 93,500 × 93,500
  4. Step 4: Simplify right side
    68,112.75x = 8,742,250,000
  5. Step 5: Solve for x
    x = 8,742,250,000/68,112.75
  6. Step 6: Final answer
    x = 128,349.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.