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Finding the Third Proportional to 43,633 and 92,459

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Solution

The third proportional to 43,633 and 92,459 is: 195,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,633 : 92,459 = 92,459 : x
  2. Step 2: Convert to fraction form
    43,633/92,459 = 92,459/x
  3. Step 3: Cross multiply
    43,633x = 92,459 × 92,459
  4. Step 4: Simplify right side
    43,633x = 8,548,666,681
  5. Step 5: Solve for x
    x = 8,548,666,681/43,633
  6. Step 6: Final answer
    x = 195,922.05

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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.