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Finding the Third Proportional to 71,193.75 and 156,598.50

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Solution

The third proportional to 71,193.75 and 156,598.50 is: 344,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,193.75 : 156,598.50 = 156,598.50 : x
  2. Step 2: Convert to fraction form
    71,193.75/156,598.50 = 156,598.50/x
  3. Step 3: Cross multiply
    71,193.75x = 156,598.50 × 156,598.50
  4. Step 4: Simplify right side
    71,193.75x = 24,523,090,202.25
  5. Step 5: Solve for x
    x = 24,523,090,202.25/71,193.75
  6. Step 6: Final answer
    x = 344,455.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.