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Finding the Third Proportional to 43,065 and 92,358

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Solution

The third proportional to 43,065 and 92,358 is: 198,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,065 : 92,358 = 92,358 : x
  2. Step 2: Convert to fraction form
    43,065/92,358 = 92,358/x
  3. Step 3: Cross multiply
    43,065x = 92,358 × 92,358
  4. Step 4: Simplify right side
    43,065x = 8,530,000,164
  5. Step 5: Solve for x
    x = 8,530,000,164/43,065
  6. Step 6: Final answer
    x = 198,072.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.