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Finding the Third Proportional to 85,287.50 and 134,951.50

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Solution

The third proportional to 85,287.50 and 134,951.50 is: 213,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,287.50 : 134,951.50 = 134,951.50 : x
  2. Step 2: Convert to fraction form
    85,287.50/134,951.50 = 134,951.50/x
  3. Step 3: Cross multiply
    85,287.50x = 134,951.50 × 134,951.50
  4. Step 4: Simplify right side
    85,287.50x = 18,211,907,352.25
  5. Step 5: Solve for x
    x = 18,211,907,352.25/85,287.50
  6. Step 6: Final answer
    x = 213,535.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.