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Finding the Third Proportional to 107,577 and 227,952

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Solution

The third proportional to 107,577 and 227,952 is: 483,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,577 : 227,952 = 227,952 : x
  2. Step 2: Convert to fraction form
    107,577/227,952 = 227,952/x
  3. Step 3: Cross multiply
    107,577x = 227,952 × 227,952
  4. Step 4: Simplify right side
    107,577x = 51,962,114,304
  5. Step 5: Solve for x
    x = 51,962,114,304/107,577
  6. Step 6: Final answer
    x = 483,022.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.