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Finding the Third Proportional to 123,017 and 183,883

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Solution

The third proportional to 123,017 and 183,883 is: 274,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,017 : 183,883 = 183,883 : x
  2. Step 2: Convert to fraction form
    123,017/183,883 = 183,883/x
  3. Step 3: Cross multiply
    123,017x = 183,883 × 183,883
  4. Step 4: Simplify right side
    123,017x = 33,812,957,689
  5. Step 5: Solve for x
    x = 33,812,957,689/123,017
  6. Step 6: Final answer
    x = 274,864.11

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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.