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Finding the Third Proportional to 48,542.63 and 108,384.75

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Solution

The third proportional to 48,542.63 and 108,384.75 is: 241,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,542.63 : 108,384.75 = 108,384.75 : x
  2. Step 2: Convert to fraction form
    48,542.63/108,384.75 = 108,384.75/x
  3. Step 3: Cross multiply
    48,542.63x = 108,384.75 × 108,384.75
  4. Step 4: Simplify right side
    48,542.63x = 11,747,254,032.56
  5. Step 5: Solve for x
    x = 11,747,254,032.56/48,542.63
  6. Step 6: Final answer
    x = 241,998.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.