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Finding the Third Proportional to 48,623 and 107,452

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Solution

The third proportional to 48,623 and 107,452 is: 237,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,623 : 107,452 = 107,452 : x
  2. Step 2: Convert to fraction form
    48,623/107,452 = 107,452/x
  3. Step 3: Cross multiply
    48,623x = 107,452 × 107,452
  4. Step 4: Simplify right side
    48,623x = 11,545,932,304
  5. Step 5: Solve for x
    x = 11,545,932,304/48,623
  6. Step 6: Final answer
    x = 237,458.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.