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Finding the Third Proportional to 53,443.13 and 113,444.72

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Solution

The third proportional to 53,443.13 and 113,444.72 is: 240,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,443.13 : 113,444.72 = 113,444.72 : x
  2. Step 2: Convert to fraction form
    53,443.13/113,444.72 = 113,444.72/x
  3. Step 3: Cross multiply
    53,443.13x = 113,444.72 × 113,444.72
  4. Step 4: Simplify right side
    53,443.13x = 12,869,704,212.27
  5. Step 5: Solve for x
    x = 12,869,704,212.27/53,443.13
  6. Step 6: Final answer
    x = 240,811.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.