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Finding the Third Proportional to 125,672 and 269,540

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Solution

The third proportional to 125,672 and 269,540 is: 578,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,672 : 269,540 = 269,540 : x
  2. Step 2: Convert to fraction form
    125,672/269,540 = 269,540/x
  3. Step 3: Cross multiply
    125,672x = 269,540 × 269,540
  4. Step 4: Simplify right side
    125,672x = 72,651,811,600
  5. Step 5: Solve for x
    x = 72,651,811,600/125,672
  6. Step 6: Final answer
    x = 578,106.59

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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.