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Finding the Third Proportional to 53,416.13 and 113,983.03

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Solution

The third proportional to 53,416.13 and 113,983.03 is: 243,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,416.13 : 113,983.03 = 113,983.03 : x
  2. Step 2: Convert to fraction form
    53,416.13/113,983.03 = 113,983.03/x
  3. Step 3: Cross multiply
    53,416.13x = 113,983.03 × 113,983.03
  4. Step 4: Simplify right side
    53,416.13x = 12,992,131,412.94
  5. Step 5: Solve for x
    x = 12,992,131,412.94/53,416.13
  6. Step 6: Final answer
    x = 243,224.90

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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.