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Finding the Third Proportional to 124,496 and 188,623

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Solution

The third proportional to 124,496 and 188,623 is: 285,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,496 : 188,623 = 188,623 : x
  2. Step 2: Convert to fraction form
    124,496/188,623 = 188,623/x
  3. Step 3: Cross multiply
    124,496x = 188,623 × 188,623
  4. Step 4: Simplify right side
    124,496x = 35,578,636,129
  5. Step 5: Solve for x
    x = 35,578,636,129/124,496
  6. Step 6: Final answer
    x = 285,781.36

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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.