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Finding the Third Proportional to 75,538 and 156,536

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Solution

The third proportional to 75,538 and 156,536 is: 324,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,538 : 156,536 = 156,536 : x
  2. Step 2: Convert to fraction form
    75,538/156,536 = 156,536/x
  3. Step 3: Cross multiply
    75,538x = 156,536 × 156,536
  4. Step 4: Simplify right side
    75,538x = 24,503,519,296
  5. Step 5: Solve for x
    x = 24,503,519,296/75,538
  6. Step 6: Final answer
    x = 324,386.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.