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Finding the Third Proportional to 58,623 and 126,135

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Solution

The third proportional to 58,623 and 126,135 is: 271,395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,623 : 126,135 = 126,135 : x
  2. Step 2: Convert to fraction form
    58,623/126,135 = 126,135/x
  3. Step 3: Cross multiply
    58,623x = 126,135 × 126,135
  4. Step 4: Simplify right side
    58,623x = 15,910,038,225
  5. Step 5: Solve for x
    x = 15,910,038,225/58,623
  6. Step 6: Final answer
    x = 271,395.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.