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Finding the Third Proportional to 82,289.25 and 110,311.88

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Solution

The third proportional to 82,289.25 and 110,311.88 is: 147,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,289.25 : 110,311.88 = 110,311.88 : x
  2. Step 2: Convert to fraction form
    82,289.25/110,311.88 = 110,311.88/x
  3. Step 3: Cross multiply
    82,289.25x = 110,311.88 × 110,311.88
  4. Step 4: Simplify right side
    82,289.25x = 12,168,709,766.02
  5. Step 5: Solve for x
    x = 12,168,709,766.02/82,289.25
  6. Step 6: Final answer
    x = 147,877.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.