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Finding the Third Proportional to 48,114 and 72,383.63

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Solution

The third proportional to 48,114 and 72,383.63 is: 108,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,114 : 72,383.63 = 72,383.63 : x
  2. Step 2: Convert to fraction form
    48,114/72,383.63 = 72,383.63/x
  3. Step 3: Cross multiply
    48,114x = 72,383.63 × 72,383.63
  4. Step 4: Simplify right side
    48,114x = 5,239,389,168.14
  5. Step 5: Solve for x
    x = 5,239,389,168.14/48,114
  6. Step 6: Final answer
    x = 108,895.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.