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Finding the Third Proportional to 53,031.38 and 111,516.38

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Solution

The third proportional to 53,031.38 and 111,516.38 is: 234,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,031.38 : 111,516.38 = 111,516.38 : x
  2. Step 2: Convert to fraction form
    53,031.38/111,516.38 = 111,516.38/x
  3. Step 3: Cross multiply
    53,031.38x = 111,516.38 × 111,516.38
  4. Step 4: Simplify right side
    53,031.38x = 12,435,901,893.14
  5. Step 5: Solve for x
    x = 12,435,901,893.14/53,031.38
  6. Step 6: Final answer
    x = 234,500.84

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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.