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Finding the Third Proportional to 53,902.13 and 113,389.88

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Solution

The third proportional to 53,902.13 and 113,389.88 is: 238,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,902.13 : 113,389.88 = 113,389.88 : x
  2. Step 2: Convert to fraction form
    53,902.13/113,389.88 = 113,389.88/x
  3. Step 3: Cross multiply
    53,902.13x = 113,389.88 × 113,389.88
  4. Step 4: Simplify right side
    53,902.13x = 12,857,263,752.52
  5. Step 5: Solve for x
    x = 12,857,263,752.52/53,902.13
  6. Step 6: Final answer
    x = 238,529.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.