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Finding the Third Proportional to 50,130.38 and 111,467.63

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Solution

The third proportional to 50,130.38 and 111,467.63 is: 247,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,130.38 : 111,467.63 = 111,467.63 : x
  2. Step 2: Convert to fraction form
    50,130.38/111,467.63 = 111,467.63/x
  3. Step 3: Cross multiply
    50,130.38x = 111,467.63 × 111,467.63
  4. Step 4: Simplify right side
    50,130.38x = 12,425,031,423.14
  5. Step 5: Solve for x
    x = 12,425,031,423.14/50,130.38
  6. Step 6: Final answer
    x = 247,854.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.