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Finding the Third Proportional to 106,122 and 160,551

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Solution

The third proportional to 106,122 and 160,551 is: 242,896.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,122 : 160,551 = 160,551 : x
  2. Step 2: Convert to fraction form
    106,122/160,551 = 160,551/x
  3. Step 3: Cross multiply
    106,122x = 160,551 × 160,551
  4. Step 4: Simplify right side
    106,122x = 25,776,623,601
  5. Step 5: Solve for x
    x = 25,776,623,601/106,122
  6. Step 6: Final answer
    x = 242,896.13

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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.