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Finding the Third Proportional to 57,325.22 and 121,613.91

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Solution

The third proportional to 57,325.22 and 121,613.91 is: 258,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,325.22 : 121,613.91 = 121,613.91 : x
  2. Step 2: Convert to fraction form
    57,325.22/121,613.91 = 121,613.91/x
  3. Step 3: Cross multiply
    57,325.22x = 121,613.91 × 121,613.91
  4. Step 4: Simplify right side
    57,325.22x = 14,789,942,193.38
  5. Step 5: Solve for x
    x = 14,789,942,193.38/57,325.22
  6. Step 6: Final answer
    x = 258,000.62

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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.