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Finding the Third Proportional to 48,538.75 and 103,825.75

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Solution

The third proportional to 48,538.75 and 103,825.75 is: 222,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,538.75 : 103,825.75 = 103,825.75 : x
  2. Step 2: Convert to fraction form
    48,538.75/103,825.75 = 103,825.75/x
  3. Step 3: Cross multiply
    48,538.75x = 103,825.75 × 103,825.75
  4. Step 4: Simplify right side
    48,538.75x = 10,779,786,363.06
  5. Step 5: Solve for x
    x = 10,779,786,363.06/48,538.75
  6. Step 6: Final answer
    x = 222,086.20

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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.