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Finding the Third Proportional to 53,983.13 and 111,423.94

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Solution

The third proportional to 53,983.13 and 111,423.94 is: 229,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,983.13 : 111,423.94 = 111,423.94 : x
  2. Step 2: Convert to fraction form
    53,983.13/111,423.94 = 111,423.94/x
  3. Step 3: Cross multiply
    53,983.13x = 111,423.94 × 111,423.94
  4. Step 4: Simplify right side
    53,983.13x = 12,415,293,848.00
  5. Step 5: Solve for x
    x = 12,415,293,848.00/53,983.13
  6. Step 6: Final answer
    x = 229,984.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.