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Finding the Third Proportional to 48,540 and 103,827.75

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Solution

The third proportional to 48,540 and 103,827.75 is: 222,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,540 : 103,827.75 = 103,827.75 : x
  2. Step 2: Convert to fraction form
    48,540/103,827.75 = 103,827.75/x
  3. Step 3: Cross multiply
    48,540x = 103,827.75 × 103,827.75
  4. Step 4: Simplify right side
    48,540x = 10,780,201,670.06
  5. Step 5: Solve for x
    x = 10,780,201,670.06/48,540
  6. Step 6: Final answer
    x = 222,089.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.