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Finding the Third Proportional to 85,374 and 186,975

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Solution

The third proportional to 85,374 and 186,975 is: 409,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,374 : 186,975 = 186,975 : x
  2. Step 2: Convert to fraction form
    85,374/186,975 = 186,975/x
  3. Step 3: Cross multiply
    85,374x = 186,975 × 186,975
  4. Step 4: Simplify right side
    85,374x = 34,959,650,625
  5. Step 5: Solve for x
    x = 34,959,650,625/85,374
  6. Step 6: Final answer
    x = 409,488.26

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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.