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Finding the Third Proportional to 53,425 and 116,124

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Solution

The third proportional to 53,425 and 116,124 is: 252,405.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,425 : 116,124 = 116,124 : x
  2. Step 2: Convert to fraction form
    53,425/116,124 = 116,124/x
  3. Step 3: Cross multiply
    53,425x = 116,124 × 116,124
  4. Step 4: Simplify right side
    53,425x = 13,484,783,376
  5. Step 5: Solve for x
    x = 13,484,783,376/53,425
  6. Step 6: Final answer
    x = 252,405.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.