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Finding the Third Proportional to 53,420.13 and 113,990.73

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Solution

The third proportional to 53,420.13 and 113,990.73 is: 243,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,420.13 : 113,990.73 = 113,990.73 : x
  2. Step 2: Convert to fraction form
    53,420.13/113,990.73 = 113,990.73/x
  3. Step 3: Cross multiply
    53,420.13x = 113,990.73 × 113,990.73
  4. Step 4: Simplify right side
    53,420.13x = 12,993,886,632.80
  5. Step 5: Solve for x
    x = 12,993,886,632.80/53,420.13
  6. Step 6: Final answer
    x = 243,239.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.