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Finding the Third Proportional to 105,743 and 154,394

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Solution

The third proportional to 105,743 and 154,394 is: 225,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,743 : 154,394 = 154,394 : x
  2. Step 2: Convert to fraction form
    105,743/154,394 = 154,394/x
  3. Step 3: Cross multiply
    105,743x = 154,394 × 154,394
  4. Step 4: Simplify right side
    105,743x = 23,837,507,236
  5. Step 5: Solve for x
    x = 23,837,507,236/105,743
  6. Step 6: Final answer
    x = 225,428.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.