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Finding the Third Proportional to 75,692 and 113,538

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Solution

The third proportional to 75,692 and 113,538 is: 170,307

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,692 : 113,538 = 113,538 : x
  2. Step 2: Convert to fraction form
    75,692/113,538 = 113,538/x
  3. Step 3: Cross multiply
    75,692x = 113,538 × 113,538
  4. Step 4: Simplify right side
    75,692x = 12,890,877,444
  5. Step 5: Solve for x
    x = 12,890,877,444/75,692
  6. Step 6: Final answer
    x = 170,307

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.