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Finding the Third Proportional to 123,541 and 186,329

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Solution

The third proportional to 123,541 and 186,329 is: 281,028.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,541 : 186,329 = 186,329 : x
  2. Step 2: Convert to fraction form
    123,541/186,329 = 186,329/x
  3. Step 3: Cross multiply
    123,541x = 186,329 × 186,329
  4. Step 4: Simplify right side
    123,541x = 34,718,496,241
  5. Step 5: Solve for x
    x = 34,718,496,241/123,541
  6. Step 6: Final answer
    x = 281,028.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.