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Finding the Third Proportional to 113,692 and 170,538

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Solution

The third proportional to 113,692 and 170,538 is: 255,807

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,692 : 170,538 = 170,538 : x
  2. Step 2: Convert to fraction form
    113,692/170,538 = 170,538/x
  3. Step 3: Cross multiply
    113,692x = 170,538 × 170,538
  4. Step 4: Simplify right side
    113,692x = 29,083,209,444
  5. Step 5: Solve for x
    x = 29,083,209,444/113,692
  6. Step 6: Final answer
    x = 255,807

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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.