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Finding the Third Proportional to 48,732 and 105,236

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Solution

The third proportional to 48,732 and 105,236 is: 227,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,732 : 105,236 = 105,236 : x
  2. Step 2: Convert to fraction form
    48,732/105,236 = 105,236/x
  3. Step 3: Cross multiply
    48,732x = 105,236 × 105,236
  4. Step 4: Simplify right side
    48,732x = 11,074,615,696
  5. Step 5: Solve for x
    x = 11,074,615,696/48,732
  6. Step 6: Final answer
    x = 227,255.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.