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Finding the Third Proportional to 43,712 and 95,207

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Solution

The third proportional to 43,712 and 95,207 is: 207,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,712 : 95,207 = 95,207 : x
  2. Step 2: Convert to fraction form
    43,712/95,207 = 95,207/x
  3. Step 3: Cross multiply
    43,712x = 95,207 × 95,207
  4. Step 4: Simplify right side
    43,712x = 9,064,372,849
  5. Step 5: Solve for x
    x = 9,064,372,849/43,712
  6. Step 6: Final answer
    x = 207,365.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.