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Finding the Third Proportional to 48,407.50 and 101,247.50

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Solution

The third proportional to 48,407.50 and 101,247.50 is: 211,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,407.50 : 101,247.50 = 101,247.50 : x
  2. Step 2: Convert to fraction form
    48,407.50/101,247.50 = 101,247.50/x
  3. Step 3: Cross multiply
    48,407.50x = 101,247.50 × 101,247.50
  4. Step 4: Simplify right side
    48,407.50x = 10,251,056,256.25
  5. Step 5: Solve for x
    x = 10,251,056,256.25/48,407.50
  6. Step 6: Final answer
    x = 211,765.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.