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Finding the Third Proportional to 43,247 and 93,160

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Solution

The third proportional to 43,247 and 93,160 is: 200,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,247 : 93,160 = 93,160 : x
  2. Step 2: Convert to fraction form
    43,247/93,160 = 93,160/x
  3. Step 3: Cross multiply
    43,247x = 93,160 × 93,160
  4. Step 4: Simplify right side
    43,247x = 8,678,785,600
  5. Step 5: Solve for x
    x = 8,678,785,600/43,247
  6. Step 6: Final answer
    x = 200,679.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.