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Finding the Third Proportional to 106,384 and 157,472

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Solution

The third proportional to 106,384 and 157,472 is: 233,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,384 : 157,472 = 157,472 : x
  2. Step 2: Convert to fraction form
    106,384/157,472 = 157,472/x
  3. Step 3: Cross multiply
    106,384x = 157,472 × 157,472
  4. Step 4: Simplify right side
    106,384x = 24,797,430,784
  5. Step 5: Solve for x
    x = 24,797,430,784/106,384
  6. Step 6: Final answer
    x = 233,093.61

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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.