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Finding the Third Proportional to 67,623 and 126,786

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Solution

The third proportional to 67,623 and 126,786 is: 237,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,623 : 126,786 = 126,786 : x
  2. Step 2: Convert to fraction form
    67,623/126,786 = 126,786/x
  3. Step 3: Cross multiply
    67,623x = 126,786 × 126,786
  4. Step 4: Simplify right side
    67,623x = 16,074,689,796
  5. Step 5: Solve for x
    x = 16,074,689,796/67,623
  6. Step 6: Final answer
    x = 237,710.39

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.