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Finding the Third Proportional to 43,498 and 92,693

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Solution

The third proportional to 43,498 and 92,693 is: 197,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,498 : 92,693 = 92,693 : x
  2. Step 2: Convert to fraction form
    43,498/92,693 = 92,693/x
  3. Step 3: Cross multiply
    43,498x = 92,693 × 92,693
  4. Step 4: Simplify right side
    43,498x = 8,591,992,249
  5. Step 5: Solve for x
    x = 8,591,992,249/43,498
  6. Step 6: Final answer
    x = 197,526.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.