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Finding the Third Proportional to 48,024.14 and 72,190.93

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Solution

The third proportional to 48,024.14 and 72,190.93 is: 108,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,024.14 : 72,190.93 = 72,190.93 : x
  2. Step 2: Convert to fraction form
    48,024.14/72,190.93 = 72,190.93/x
  3. Step 3: Cross multiply
    48,024.14x = 72,190.93 × 72,190.93
  4. Step 4: Simplify right side
    48,024.14x = 5,211,530,893.14
  5. Step 5: Solve for x
    x = 5,211,530,893.14/48,024.14
  6. Step 6: Final answer
    x = 108,518.98

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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.