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Finding the Third Proportional to 71,546 and 97,170

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Solution

The third proportional to 71,546 and 97,170 is: 131,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,546 : 97,170 = 97,170 : x
  2. Step 2: Convert to fraction form
    71,546/97,170 = 97,170/x
  3. Step 3: Cross multiply
    71,546x = 97,170 × 97,170
  4. Step 4: Simplify right side
    71,546x = 9,442,008,900
  5. Step 5: Solve for x
    x = 9,442,008,900/71,546
  6. Step 6: Final answer
    x = 131,971.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.