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Finding the Third Proportional to 43,692 and 92,730

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Solution

The third proportional to 43,692 and 92,730 is: 196,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,692 : 92,730 = 92,730 : x
  2. Step 2: Convert to fraction form
    43,692/92,730 = 92,730/x
  3. Step 3: Cross multiply
    43,692x = 92,730 × 92,730
  4. Step 4: Simplify right side
    43,692x = 8,598,852,900
  5. Step 5: Solve for x
    x = 8,598,852,900/43,692
  6. Step 6: Final answer
    x = 196,806.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.