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Finding the Third Proportional to 85,376 and 186,979

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Solution

The third proportional to 85,376 and 186,979 is: 409,496.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,376 : 186,979 = 186,979 : x
  2. Step 2: Convert to fraction form
    85,376/186,979 = 186,979/x
  3. Step 3: Cross multiply
    85,376x = 186,979 × 186,979
  4. Step 4: Simplify right side
    85,376x = 34,961,146,441
  5. Step 5: Solve for x
    x = 34,961,146,441/85,376
  6. Step 6: Final answer
    x = 409,496.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.