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Finding the Third Proportional to 60,911 and 128,485

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Solution

The third proportional to 60,911 and 128,485 is: 271,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,911 : 128,485 = 128,485 : x
  2. Step 2: Convert to fraction form
    60,911/128,485 = 128,485/x
  3. Step 3: Cross multiply
    60,911x = 128,485 × 128,485
  4. Step 4: Simplify right side
    60,911x = 16,508,395,225
  5. Step 5: Solve for x
    x = 16,508,395,225/60,911
  6. Step 6: Final answer
    x = 271,024.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.