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Finding the Third Proportional to 84,971 and 186,718

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Solution

The third proportional to 84,971 and 186,718 is: 410,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,971 : 186,718 = 186,718 : x
  2. Step 2: Convert to fraction form
    84,971/186,718 = 186,718/x
  3. Step 3: Cross multiply
    84,971x = 186,718 × 186,718
  4. Step 4: Simplify right side
    84,971x = 34,863,611,524
  5. Step 5: Solve for x
    x = 34,863,611,524/84,971
  6. Step 6: Final answer
    x = 410,300.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.