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Finding the Third Proportional to 127,562 and 279,293

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Solution

The third proportional to 127,562 and 279,293 is: 611,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,562 : 279,293 = 279,293 : x
  2. Step 2: Convert to fraction form
    127,562/279,293 = 279,293/x
  3. Step 3: Cross multiply
    127,562x = 279,293 × 279,293
  4. Step 4: Simplify right side
    127,562x = 78,004,579,849
  5. Step 5: Solve for x
    x = 78,004,579,849/127,562
  6. Step 6: Final answer
    x = 611,503.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.