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Finding the Third Proportional to 61,673 and 134,485

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Solution

The third proportional to 61,673 and 134,485 is: 293,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,673 : 134,485 = 134,485 : x
  2. Step 2: Convert to fraction form
    61,673/134,485 = 134,485/x
  3. Step 3: Cross multiply
    61,673x = 134,485 × 134,485
  4. Step 4: Simplify right side
    61,673x = 18,086,215,225
  5. Step 5: Solve for x
    x = 18,086,215,225/61,673
  6. Step 6: Final answer
    x = 293,259.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.