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Finding the Third Proportional to 71,357 and 111,120.50

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Solution

The third proportional to 71,357 and 111,120.50 is: 173,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,357 : 111,120.50 = 111,120.50 : x
  2. Step 2: Convert to fraction form
    71,357/111,120.50 = 111,120.50/x
  3. Step 3: Cross multiply
    71,357x = 111,120.50 × 111,120.50
  4. Step 4: Simplify right side
    71,357x = 12,347,765,520.25
  5. Step 5: Solve for x
    x = 12,347,765,520.25/71,357
  6. Step 6: Final answer
    x = 173,042.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.