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Finding the Third Proportional to 43,046 and 93,241

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Solution

The third proportional to 43,046 and 93,241 is: 201,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,046 : 93,241 = 93,241 : x
  2. Step 2: Convert to fraction form
    43,046/93,241 = 93,241/x
  3. Step 3: Cross multiply
    43,046x = 93,241 × 93,241
  4. Step 4: Simplify right side
    43,046x = 8,693,884,081
  5. Step 5: Solve for x
    x = 8,693,884,081/43,046
  6. Step 6: Final answer
    x = 201,967.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.