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Finding the Third Proportional to 60,446 and 84,971

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Solution

The third proportional to 60,446 and 84,971 is: 119,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,446 : 84,971 = 84,971 : x
  2. Step 2: Convert to fraction form
    60,446/84,971 = 84,971/x
  3. Step 3: Cross multiply
    60,446x = 84,971 × 84,971
  4. Step 4: Simplify right side
    60,446x = 7,220,070,841
  5. Step 5: Solve for x
    x = 7,220,070,841/60,446
  6. Step 6: Final answer
    x = 119,446.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.