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Finding the Third Proportional to 48,624 and 100,623

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Solution

The third proportional to 48,624 and 100,623 is: 208,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,624 : 100,623 = 100,623 : x
  2. Step 2: Convert to fraction form
    48,624/100,623 = 100,623/x
  3. Step 3: Cross multiply
    48,624x = 100,623 × 100,623
  4. Step 4: Simplify right side
    48,624x = 10,124,988,129
  5. Step 5: Solve for x
    x = 10,124,988,129/48,624
  6. Step 6: Final answer
    x = 208,230.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.