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Finding the Third Proportional to 43,158 and 96,358

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Solution

The third proportional to 43,158 and 96,358 is: 215,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,158 : 96,358 = 96,358 : x
  2. Step 2: Convert to fraction form
    43,158/96,358 = 96,358/x
  3. Step 3: Cross multiply
    43,158x = 96,358 × 96,358
  4. Step 4: Simplify right side
    43,158x = 9,284,864,164
  5. Step 5: Solve for x
    x = 9,284,864,164/43,158
  6. Step 6: Final answer
    x = 215,136.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.