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Finding the Third Proportional to 106,340 and 144,482

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Solution

The third proportional to 106,340 and 144,482 is: 196,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,340 : 144,482 = 144,482 : x
  2. Step 2: Convert to fraction form
    106,340/144,482 = 144,482/x
  3. Step 3: Cross multiply
    106,340x = 144,482 × 144,482
  4. Step 4: Simplify right side
    106,340x = 20,875,048,324
  5. Step 5: Solve for x
    x = 20,875,048,324/106,340
  6. Step 6: Final answer
    x = 196,304.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.