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Finding the Third Proportional to 124,511 and 186,894

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Solution

The third proportional to 124,511 and 186,894 is: 280,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,511 : 186,894 = 186,894 : x
  2. Step 2: Convert to fraction form
    124,511/186,894 = 186,894/x
  3. Step 3: Cross multiply
    124,511x = 186,894 × 186,894
  4. Step 4: Simplify right side
    124,511x = 34,929,367,236
  5. Step 5: Solve for x
    x = 34,929,367,236/124,511
  6. Step 6: Final answer
    x = 280,532.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.