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Finding the Third Proportional to 71,620 and 156,078

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Solution

The third proportional to 71,620 and 156,078 is: 340,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,620 : 156,078 = 156,078 : x
  2. Step 2: Convert to fraction form
    71,620/156,078 = 156,078/x
  3. Step 3: Cross multiply
    71,620x = 156,078 × 156,078
  4. Step 4: Simplify right side
    71,620x = 24,360,342,084
  5. Step 5: Solve for x
    x = 24,360,342,084/71,620
  6. Step 6: Final answer
    x = 340,133.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.