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Finding the Third Proportional to 50,147 and 108,130.75

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Solution

The third proportional to 50,147 and 108,130.75 is: 233,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,147 : 108,130.75 = 108,130.75 : x
  2. Step 2: Convert to fraction form
    50,147/108,130.75 = 108,130.75/x
  3. Step 3: Cross multiply
    50,147x = 108,130.75 × 108,130.75
  4. Step 4: Simplify right side
    50,147x = 11,692,259,095.56
  5. Step 5: Solve for x
    x = 11,692,259,095.56/50,147
  6. Step 6: Final answer
    x = 233,159.69

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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.