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Finding the Third Proportional to 127,785 and 271,962

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Solution

The third proportional to 127,785 and 271,962 is: 578,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,785 : 271,962 = 271,962 : x
  2. Step 2: Convert to fraction form
    127,785/271,962 = 271,962/x
  3. Step 3: Cross multiply
    127,785x = 271,962 × 271,962
  4. Step 4: Simplify right side
    127,785x = 73,963,329,444
  5. Step 5: Solve for x
    x = 73,963,329,444/127,785
  6. Step 6: Final answer
    x = 578,810.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.