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Finding the Third Proportional to 85,851 and 186,473

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Solution

The third proportional to 85,851 and 186,473 is: 405,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,851 : 186,473 = 186,473 : x
  2. Step 2: Convert to fraction form
    85,851/186,473 = 186,473/x
  3. Step 3: Cross multiply
    85,851x = 186,473 × 186,473
  4. Step 4: Simplify right side
    85,851x = 34,772,179,729
  5. Step 5: Solve for x
    x = 34,772,179,729/85,851
  6. Step 6: Final answer
    x = 405,029.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.