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Finding the Third Proportional to 48,288 and 104,832

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Solution

The third proportional to 48,288 and 104,832 is: 227,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,288 : 104,832 = 104,832 : x
  2. Step 2: Convert to fraction form
    48,288/104,832 = 104,832/x
  3. Step 3: Cross multiply
    48,288x = 104,832 × 104,832
  4. Step 4: Simplify right side
    48,288x = 10,989,748,224
  5. Step 5: Solve for x
    x = 10,989,748,224/48,288
  6. Step 6: Final answer
    x = 227,587.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.