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Finding the Third Proportional to 48,414 and 106,160

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Solution

The third proportional to 48,414 and 106,160 is: 232,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,414 : 106,160 = 106,160 : x
  2. Step 2: Convert to fraction form
    48,414/106,160 = 106,160/x
  3. Step 3: Cross multiply
    48,414x = 106,160 × 106,160
  4. Step 4: Simplify right side
    48,414x = 11,269,945,600
  5. Step 5: Solve for x
    x = 11,269,945,600/48,414
  6. Step 6: Final answer
    x = 232,782.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.