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Finding the Third Proportional to 53,238.94 and 113,864.81

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Solution

The third proportional to 53,238.94 and 113,864.81 is: 243,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,238.94 : 113,864.81 = 113,864.81 : x
  2. Step 2: Convert to fraction form
    53,238.94/113,864.81 = 113,864.81/x
  3. Step 3: Cross multiply
    53,238.94x = 113,864.81 × 113,864.81
  4. Step 4: Simplify right side
    53,238.94x = 12,965,195,525.66
  5. Step 5: Solve for x
    x = 12,965,195,525.66/53,238.94
  6. Step 6: Final answer
    x = 243,528.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.