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Finding the Third Proportional to 123,017 and 183,882

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Solution

The third proportional to 123,017 and 183,882 is: 274,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,017 : 183,882 = 183,882 : x
  2. Step 2: Convert to fraction form
    123,017/183,882 = 183,882/x
  3. Step 3: Cross multiply
    123,017x = 183,882 × 183,882
  4. Step 4: Simplify right side
    123,017x = 33,812,589,924
  5. Step 5: Solve for x
    x = 33,812,589,924/123,017
  6. Step 6: Final answer
    x = 274,861.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.