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Finding the Third Proportional to 85,496 and 186,721

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Solution

The third proportional to 85,496 and 186,721 is: 407,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,496 : 186,721 = 186,721 : x
  2. Step 2: Convert to fraction form
    85,496/186,721 = 186,721/x
  3. Step 3: Cross multiply
    85,496x = 186,721 × 186,721
  4. Step 4: Simplify right side
    85,496x = 34,864,731,841
  5. Step 5: Solve for x
    x = 34,864,731,841/85,496
  6. Step 6: Final answer
    x = 407,793.72

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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.