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Finding the Third Proportional to 124,492 and 188,617

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Solution

The third proportional to 124,492 and 188,617 is: 285,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,492 : 188,617 = 188,617 : x
  2. Step 2: Convert to fraction form
    124,492/188,617 = 188,617/x
  3. Step 3: Cross multiply
    124,492x = 188,617 × 188,617
  4. Step 4: Simplify right side
    124,492x = 35,576,372,689
  5. Step 5: Solve for x
    x = 35,576,372,689/124,492
  6. Step 6: Final answer
    x = 285,772.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.