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Finding the Third Proportional to 106,880 and 159,440

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Solution

The third proportional to 106,880 and 159,440 is: 237,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,880 : 159,440 = 159,440 : x
  2. Step 2: Convert to fraction form
    106,880/159,440 = 159,440/x
  3. Step 3: Cross multiply
    106,880x = 159,440 × 159,440
  4. Step 4: Simplify right side
    106,880x = 25,421,113,600
  5. Step 5: Solve for x
    x = 25,421,113,600/106,880
  6. Step 6: Final answer
    x = 237,847.25

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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.