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Finding the Third Proportional to 48,134.25 and 104,287.50

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Solution

The third proportional to 48,134.25 and 104,287.50 is: 225,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,134.25 : 104,287.50 = 104,287.50 : x
  2. Step 2: Convert to fraction form
    48,134.25/104,287.50 = 104,287.50/x
  3. Step 3: Cross multiply
    48,134.25x = 104,287.50 × 104,287.50
  4. Step 4: Simplify right side
    48,134.25x = 10,875,882,656.25
  5. Step 5: Solve for x
    x = 10,875,882,656.25/48,134.25
  6. Step 6: Final answer
    x = 225,948.94

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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.