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Finding the Third Proportional to 111,692 and 170,598

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Solution

The third proportional to 111,692 and 170,598 is: 260,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,692 : 170,598 = 170,598 : x
  2. Step 2: Convert to fraction form
    111,692/170,598 = 170,598/x
  3. Step 3: Cross multiply
    111,692x = 170,598 × 170,598
  4. Step 4: Simplify right side
    111,692x = 29,103,677,604
  5. Step 5: Solve for x
    x = 29,103,677,604/111,692
  6. Step 6: Final answer
    x = 260,570.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.