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Finding the Third Proportional to 50,639.34 and 109,128.66

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Solution

The third proportional to 50,639.34 and 109,128.66 is: 235,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,639.34 : 109,128.66 = 109,128.66 : x
  2. Step 2: Convert to fraction form
    50,639.34/109,128.66 = 109,128.66/x
  3. Step 3: Cross multiply
    50,639.34x = 109,128.66 × 109,128.66
  4. Step 4: Simplify right side
    50,639.34x = 11,909,063,614.93
  5. Step 5: Solve for x
    x = 11,909,063,614.93/50,639.34
  6. Step 6: Final answer
    x = 235,174.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.