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Finding the Third Proportional to 84,248 and 187,180

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Solution

The third proportional to 84,248 and 187,180 is: 415,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,248 : 187,180 = 187,180 : x
  2. Step 2: Convert to fraction form
    84,248/187,180 = 187,180/x
  3. Step 3: Cross multiply
    84,248x = 187,180 × 187,180
  4. Step 4: Simplify right side
    84,248x = 35,036,352,400
  5. Step 5: Solve for x
    x = 35,036,352,400/84,248
  6. Step 6: Final answer
    x = 415,871.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.