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Finding the Third Proportional to 48,360 and 106,224

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Solution

The third proportional to 48,360 and 106,224 is: 233,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,360 : 106,224 = 106,224 : x
  2. Step 2: Convert to fraction form
    48,360/106,224 = 106,224/x
  3. Step 3: Cross multiply
    48,360x = 106,224 × 106,224
  4. Step 4: Simplify right side
    48,360x = 11,283,538,176
  5. Step 5: Solve for x
    x = 11,283,538,176/48,360
  6. Step 6: Final answer
    x = 233,323.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.