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Finding the Third Proportional to 124,488 and 186,824

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Solution

The third proportional to 124,488 and 186,824 is: 280,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,488 : 186,824 = 186,824 : x
  2. Step 2: Convert to fraction form
    124,488/186,824 = 186,824/x
  3. Step 3: Cross multiply
    124,488x = 186,824 × 186,824
  4. Step 4: Simplify right side
    124,488x = 34,903,206,976
  5. Step 5: Solve for x
    x = 34,903,206,976/124,488
  6. Step 6: Final answer
    x = 280,374.07

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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.