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Finding the Third Proportional to 106,306 and 144,438

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Solution

The third proportional to 106,306 and 144,438 is: 196,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,306 : 144,438 = 144,438 : x
  2. Step 2: Convert to fraction form
    106,306/144,438 = 144,438/x
  3. Step 3: Cross multiply
    106,306x = 144,438 × 144,438
  4. Step 4: Simplify right side
    106,306x = 20,862,335,844
  5. Step 5: Solve for x
    x = 20,862,335,844/106,306
  6. Step 6: Final answer
    x = 196,247.96

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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.