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Finding the Third Proportional to 106,960 and 160,056

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Solution

The third proportional to 106,960 and 160,056 is: 239,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,960 : 160,056 = 160,056 : x
  2. Step 2: Convert to fraction form
    106,960/160,056 = 160,056/x
  3. Step 3: Cross multiply
    106,960x = 160,056 × 160,056
  4. Step 4: Simplify right side
    106,960x = 25,617,923,136
  5. Step 5: Solve for x
    x = 25,617,923,136/106,960
  6. Step 6: Final answer
    x = 239,509.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.