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Finding the Third Proportional to 106,361 and 157,440

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Solution

The third proportional to 106,361 and 157,440 is: 233,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,361 : 157,440 = 157,440 : x
  2. Step 2: Convert to fraction form
    106,361/157,440 = 157,440/x
  3. Step 3: Cross multiply
    106,361x = 157,440 × 157,440
  4. Step 4: Simplify right side
    106,361x = 24,787,353,600
  5. Step 5: Solve for x
    x = 24,787,353,600/106,361
  6. Step 6: Final answer
    x = 233,049.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.