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Finding the Third Proportional to 48,228.75 and 100,095.75

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Solution

The third proportional to 48,228.75 and 100,095.75 is: 207,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,228.75 : 100,095.75 = 100,095.75 : x
  2. Step 2: Convert to fraction form
    48,228.75/100,095.75 = 100,095.75/x
  3. Step 3: Cross multiply
    48,228.75x = 100,095.75 × 100,095.75
  4. Step 4: Simplify right side
    48,228.75x = 10,019,159,168.06
  5. Step 5: Solve for x
    x = 10,019,159,168.06/48,228.75
  6. Step 6: Final answer
    x = 207,742.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.