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Finding the Third Proportional to 125,606 and 269,410

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Solution

The third proportional to 125,606 and 269,410 is: 577,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,606 : 269,410 = 269,410 : x
  2. Step 2: Convert to fraction form
    125,606/269,410 = 269,410/x
  3. Step 3: Cross multiply
    125,606x = 269,410 × 269,410
  4. Step 4: Simplify right side
    125,606x = 72,581,748,100
  5. Step 5: Solve for x
    x = 72,581,748,100/125,606
  6. Step 6: Final answer
    x = 577,852.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.