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Finding the Third Proportional to 34,242 and 73,315.50

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Solution

The third proportional to 34,242 and 73,315.50 is: 156,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,242 : 73,315.50 = 73,315.50 : x
  2. Step 2: Convert to fraction form
    34,242/73,315.50 = 73,315.50/x
  3. Step 3: Cross multiply
    34,242x = 73,315.50 × 73,315.50
  4. Step 4: Simplify right side
    34,242x = 5,375,162,540.25
  5. Step 5: Solve for x
    x = 5,375,162,540.25/34,242
  6. Step 6: Final answer
    x = 156,975.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.